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ORCIDSolomon W. Golomb
Person information
- affiliation: University of Southern California, Los Angeles, USA
- award (2016): Benjamin Franklin Medal
- award (2011): National Medal of Science
- award (2000): IEEE Richard W. Hamming Medal
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Journal Articles
- 2018
[j77]Solomon W. Golomb, Beatrice A. Golomb
:
A Career in Engineering. IEEE Trans. Inf. Theory 64(4): 2805-2836 (2018)- 2016
- [j76]Solomon W. Golomb, Richard Hess:
Optimum Seating Arrangements and Tuscan Squares. Ars Comb. 129: 397-402 (2016) - [j75]Ki-Hyeon Park, Hong-Yeop Song, Dae San Kim, Solomon W. Golomb:
Optimal Families of Perfect Polyphase Sequences From the Array Structure of Fermat-Quotient Sequences. IEEE Trans. Inf. Theory 62(2): 1076-1086 (2016) - 2013
- [j74]José R. Ortiz-Ubarri, Oscar Moreno, Andrew Z. Tirkel, Rafael A. Arce-Nazario, Solomon W. Golomb:
Algebraic Symmetries of Generic $(m+1)$-Dimensional Periodic Costas Arrays. IEEE Trans. Inf. Theory 59(2): 1076-1081 (2013) - 2010
- [j73]Heekwan Lee, Solomon W. Golomb:
A New Construction of 16-QAM Near Complementary Sequences. IEEE Trans. Inf. Theory 56(11): 5772-5779 (2010) - 2008
- [j72]Solomon W. Golomb, Kyle Calderhead:
Orthogonal Sudoku Squares: 11214. Am. Math. Mon. 115(2): 167-168 (2008) - [j71]Wen-Qing Xu, Solomon W. Golomb:
Two-Dimensional Array Coloring With Many Colors. IEEE Trans. Inf. Theory 54(9): 4391-4394 (2008) - 2007
- [j70]Wen-Qing Xu, Solomon W. Golomb:
Optimal interleaving schemes for correcting two-dimensional cluster errors. Discret. Appl. Math. 155(10): 1200-1212 (2007) - [j69]Solomon W. Golomb, Pey-Feng Lee:
Irreducible Polynomials Which Divide Trinomials Over GF, (2). IEEE Trans. Inf. Theory 53(2): 768-774 (2007) - [j68]Guang Gong, Solomon W. Golomb, Hong-Yeop Song:
A Note on Low-Correlation Zone Signal Sets. IEEE Trans. Inf. Theory 53(7): 2575-2581 (2007) - [j67]Ahmad Bekir, Solomon W. Golomb:
There Are No Further Counterexamples to S. Piccard's Theorem. IEEE Trans. Inf. Theory 53(8): 2864-2867 (2007) - [j66]Solomon W. Golomb, Guang Gong:
The Status of Costas Arrays. IEEE Trans. Inf. Theory 53(11): 4260-4265 (2007) - 2006
- [j65]Solomon W. Golomb:
On the Classification of Cyclic Hadamard Sequences. IEICE Trans. Fundam. Electron. Commun. Comput. Sci. 89-A(9): 2247-2253 (2006) - [j64]Solomon W. Golomb:
Problem 11214. Am. Math. Mon. 113(3): 268 (2006) - [j63]Solomon W. Golomb, Pat Costello:
A Consequence of Dirichlet's Theorem: 11109. Am. Math. Mon. 113(6): 573 (2006) - [j62]Heekwan Lee, Solomon W. Golomb:
A new construction of 64-QAM golay complementary sequences. IEEE Trans. Inf. Theory 52(4): 1663-1670 (2006) - [j61]Solomon W. Golomb, Robert Mena, Wen-Qing Xu:
Optimal Interleaving Schemes for Two-Dimensional Arrays. IEEE Trans. Inf. Theory 52(9): 4223-4229 (2006) - 2005
- [j60]Wensong Chu, Charles J. Colbourn, Solomon W. Golomb:
A Recursive Construction For Regular Difference Triangle Sets. SIAM J. Discret. Math. 18(4): 741-748 (2005) - [j59]Wen-Qing Xu, Solomon W. Golomb:
Optimal 2-D interleaving with latin rectangles. IEEE Trans. Inf. Theory 51(3): 1179-1182 (2005) - 2004
- [j58]Solomon W. Golomb:
Problem 11109. Am. Math. Mon. 111(8): 725 (2004) - 2003
- [j57]Wensong Chu, Solomon W. Golomb:
A note on the equivalence between strict optical orthogonal codes and difference triangle sets. IEEE Trans. Inf. Theory 49(3): 759-761 (2003) - [j56]Wensong Chu, Solomon W. Golomb:
A new recursive construction for optical orthogonal codes. IEEE Trans. Inf. Theory 49(11): 3072-3076 (2003) - 2002
- [j55]Wensong Chu, Solomon W. Golomb:
Circular Tuscan-k Arrays from Permutation Binomials. J. Comb. Theory A 97(1): 195-202 (2002) - [j54]Guang Gong, Solomon W. Golomb:
The decimation-Hadamard transform of two-level autocorrelation sequences. IEEE Trans. Inf. Theory 48(4): 853-865 (2002) - 2001
- [j53]Peter Gaal, Solomon W. Golomb:
Exhaustive determination of (1023, 511, 255)-cyclic difference sets. Math. Comput. 70(233): 357-366 (2001) - 2000
- [j52]Solomon W. Golomb, Guang Gong, Zong-Duo Dai:
Cyclic inequivalence of cascaded GMW-sequences. Discret. Math. 219(1-3): 279-285 (2000) - [j51]Jerrold R. Griggs, Michael Woltermann, B. Borchers, David Callan, Robin J. Chapman, J. Chilcott, Paul Cull, A. Ferguson, K. Martin, G. G. Gagola, Solomon W. Golomb, J. Guilford, S. Louis Hakimi, Edward F. Schmeichel, J. K. Haugland, C. H. Jepson, R. Johnsonbaugh, André Kündgen, S. Levandosky, J. T. Lewis, John H. Lindsey II, O. P. Lossers, Reiner Martin, R. Morris, Gerald Myerson, José Heber Nieto, E. Rykken, J. Sorensen, J. Schlosberg, W. Seaman, J. T. Ward, Z. Zeuge:
Tiling Rectangles with Trominoes: 10641. Am. Math. Mon. 107(2): 179 (2000) - [j50]Guang Gong, Zong-Duo Dai, Solomon W. Golomb:
Enumeration and criteria for cyclically shift-distinct GMW sequences. IEEE Trans. Inf. Theory 46(2): 474-484 (2000) - [j49]Anchung Chang, Peter Gaal, Solomon W. Golomb, Guang Gong, Tor Helleseth, P. Vijay Kumar:
On a conjectured ideal autocorrelation sequence, a related triple-error correcting cyclic code. IEEE Trans. Inf. Theory 46(2): 680-687 (2000) - 1999
- [j48]Zongduo Dai, Solomon W. Golomb, Guang Gong:
Generating all linear orthomorphisms without repetition. Discret. Math. 205(1-3): 47-55 (1999) - [j47]Guang Gong, Solomon W. Golomb:
Binary Sequences with Two-Level Autocorrelation. IEEE Trans. Inf. Theory 45(2): 692-693 (1999) - [j46]Solomon W. Golomb, Guang Gong:
Periodic Binary Sequences with the "Trinomial Property". IEEE Trans. Inf. Theory 45(4): 1276-1279 (1999) - [j45]Guang Gong, Solomon W. Golomb:
Hadamard transforms of three-term sequences. IEEE Trans. Inf. Theory 45(6): 2059-2060 (1999) - [j44]Guang Gong, Solomon W. Golomb:
Transform domain analysis of DES. IEEE Trans. Inf. Theory 45(6): 2065-2073 (1999) - 1998
- [j43]Gregory S. Yovanof, Solomon W. Golomb:
The Polynomial Model in the Study of Counterexamples to S. Piccard's Theorem. Ars Comb. 48 (1998) - [j42]Jong-Seon No, Solomon W. Golomb, Guang Gong, Hwan-Keun Lee, Peter Gaal:
Binary Pseudorandom Sequences of Period 2n-1 with Ideal Autocorrelation. IEEE Trans. Inf. Theory 44(2): 814-817 (1998) - [j41]Solomon W. Golomb, Moe Z. Win:
Recent Results on Polyphase Sequences. IEEE Trans. Inf. Theory 44(2): 817-824 (1998) - 1997
- [j40]Oscar Moreno, Solomon W. Golomb, C. J. Corrada:
Extended sonar sequences. IEEE Trans. Inf. Theory 43(6): 1999-2005 (1997) - 1996
- [j39]Solomon W. Golomb:
On Factoring Jevons' Number. Cryptologia 20(3): 243-246 (1996) - [j38]Ning Chang, Solomon W. Golomb:
7200-phase generalized Barker sequences. IEEE Trans. Inf. Theory 42(4): 1236-1238 (1996) - [j37]Solomon W. Golomb, Oscar Moreno:
On periodicity properties of Costas arrays and a conjecture on permutation polynomials. IEEE Trans. Inf. Theory 42(6): 2252-2253 (1996) - 1995
- [j36]Karl A. Dahlke, Solomon W. Golomb, Herbert Taylor:
An Octomino of High Order. J. Comb. Theory A 70(1): 157-158 (1995) - 1994
- [j35]Hong-Yeop Song, Solomon W. Golomb:
Some new constructions for simplex codes. IEEE Trans. Inf. Theory 40(2): 504-507 (1994) - [j34]Ning Chang, Solomon W. Golomb:
On n-phase Barker sequences. IEEE Trans. Inf. Theory 40(4): 1251-1253 (1994) - [j33]Hong-Yeop Song, Solomon W. Golomb:
On the existence of cyclic Hadamard difference sets. IEEE Trans. Inf. Theory 40(4): 1266-1268 (1994) - 1993
- [j32]Ning Zhang, Solomon W. Golomb:
Polyphase sequence with low autocorrelations. IEEE Trans. Inf. Theory 39(3): 1085-1089 (1993) - [j31]Hong-Yeop Song, Irving S. Reed, Solomon W. Golomb:
On the nonperiodic cyclic equivalence classes of Reed-Solomon codes. IEEE Trans. Inf. Theory 39(4): 1431-1434 (1993) - 1992
- [j30]Solomon W. Golomb:
Error-correcting Codes and the Genome Project. Comput. Chem. 16(2): 183-186 (1992) - [j29]Solomon W. Golomb:
Probability, information theory, and prime number theory. Discret. Math. 106-107: 219-229 (1992) - [j28]Hong-Yeop Song, Herbert Taylor, Solomon W. Golomb:
Progressions in Every Two-Coloration of Zn. J. Comb. Theory A 61(2): 211-221 (1992) - [j27]Solomon W. Golomb:
The T4 and G4 constructions for Costas arrays. IEEE Trans. Inf. Theory 38(4): 1404-1406 (1992) - 1990
- [j26]Ning Zhang, Solomon W. Golomb:
A limit theorem for n-phase Barker sequences (corresp.). IEEE Trans. Inf. Theory 36(4): 863-868 (1990) - [j25]Gregory L. Mayhew, Solomon W. Golomb:
Linear spans of modified de Bruijn sequences. IEEE Trans. Inf. Theory 36(5): 1166-1167 (1990) - [j24]Ning Zhang, Solomon W. Golomb:
Uniqueness of the generalized Barker sequence of length 6. IEEE Trans. Inf. Theory 36(5): 1167-1170 (1990) - [j23]Ning Zhang, Solomon W. Golomb:
On the crosscorrelation of generalized Barker sequences. IEEE Trans. Inf. Theory 36(6): 1478-1480 (1990) - 1989
- [j22]Solomon W. Golomb:
Polyominoes which tile rectangles. J. Comb. Theory A 51(1): 117-124 (1989) - [j21]Ning Zhang, Solomon W. Golomb:
Sixty-phase generalized Barker sequences. IEEE Trans. Inf. Theory 35(4): 911-912 (1989) - 1984
- [j20]Solomon W. Golomb:
Algebraic Constructions for Costas Arrays. J. Comb. Theory A 37(1): 13-21 (1984) - 1983
- [j19]Unjeng Cheng, Solomon W. Golomb:
On the characteristics of PN sequences. IEEE Trans. Inf. Theory 29(4): 600- (1983) - 1982
- [j18]Solomon W. Golomb, Herbert Taylor:
Two-dimensional synchronization patterns for minimum ambiguity. IEEE Trans. Inf. Theory 28(4): 600-604 (1982) - 1980
- [j17]Solomon W. Golomb:
Cryptographic Reflections on the Genetic Code. Cryptologia 4(1): 15-19 (1980) - [j16]Solomon W. Golomb:
Sources Which Maximize the Choice of a Huffman Coding Tree. Inf. Control. 45(3): 263-272 (1980) - [j15]Solomon W. Golomb:
Obtaining Specified Irreducible Polynomials over Finite Fields. SIAM J. Algebraic Discret. Methods 1(4): 411-418 (1980) - [j14]Solomon W. Golomb:
The limiting behavior of the Z-channel (Corresp.). IEEE Trans. Inf. Theory 26(3): 372 (1980) - [j13]Solomon W. Golomb:
On the classification of balanced binary sequences of period 2n-1 (Corresp.). IEEE Trans. Inf. Theory 26(6): 730-732 (1980) - 1972
- [j12]Solomon W. Golomb:
On the survival of sequence information in filters (Corresp.). IEEE Trans. Inf. Theory 18(2): 310-312 (1972) - 1969
- [j11]Solomon W. Golomb:
A general formulation of error matrices (Corresp.). IEEE Trans. Inf. Theory 15(3): 425-426 (1969) - 1968
- [j10]Solomon W. Golomb:
Theory of transformation groups of polynomials over GF(2) with applications to linear shift register sequences. Inf. Sci. 1(1): 87-109 (1968) - 1966
- [j9]Solomon W. Golomb:
References to pentominoes. Commun. ACM 9(4): 241 (1966) - [j8]Solomon W. Golomb:
The information generating function of a probability distribution (Corresp.). IEEE Trans. Inf. Theory 12(1): 75-77 (1966) - [j7]Solomon W. Golomb:
Run-length encodings (Corresp.). IEEE Trans. Inf. Theory 12(3): 399-401 (1966) - 1965
- [j6]Solomon W. Golomb, Basil Gordon:
Codes With Bounded Synchronization Delay. Inf. Control. 8(4): 355-372 (1965) - [j5]Solomon W. Golomb, Leonard D. Baumert:
Backtrack Programming. J. ACM 12(4): 516-524 (1965) - [j4]Solomon W. Golomb, Robert A. Scholtz:
Generalized Barker sequences. IEEE Trans. Inf. Theory 11(4): 533-537 (1965) - 1964
- [j3]Solomon W. Golomb, Edward C. Posner:
Rook domains, Latin squares, affine planes, and error-distributing codes. IEEE Trans. Inf. Theory 10(3): 196-208 (1964) - 1961
- [j2]Solomon W. Golomb:
A new derivation of the entropy expressions. IRE Trans. Inf. Theory 7(3): 166-167 (1961) - 1959
- [j1]Solomon W. Golomb:
On the classification of Boolean functions. IRE Trans. Inf. Theory 5(5): 176-186 (1959)
Conference and Workshop Papers
- 2014
- [c21]Guang Gong, Solomon W. Golomb:
A Simple Construction of Almost Perfect Quinary ASK and QAM Sequences. SETA 2014: 109-120 - [c20]Solomon W. Golomb:
Conjectures Involving Sequences and Prime Numbers. SETA 2014: 263-266 - 2012
- [c19]Solomon W. Golomb:
Infinite Sequences with Finite Cross-Correlation-II. SETA 2012: 110-116 - 2010
- [c18]Solomon W. Golomb:
Infinite Sequences with Finite Cross-Correlation. SETA 2010: 430-441 - 2008
- [c17]Heekwan Lee, Solomon W. Golomb:
A new construction of 16-QAM near complementary sequences. ISIT 2008: 2772-2776 - 2007
- [c16]Solomon W. Golomb, Guang Gong:
Actions of the Unitary Group on Irreducible/Primitive Polynomials and Their Applications to Randomness of Sequences. ITW 2007: 5- - [c15]Solomon W. Golomb:
Periodic Binary Sequences: Solved and Unsolved Problems. SSC 2007: 1-8 - 2006
- [c14]Oscar Moreno, Solomon W. Golomb:
A new optimal double periodical construction of one target two-dimensional arrays. CISS 2006: 518-521 - [c13]Solomon W. Golomb:
The Status of Costas Array Construction. CISS 2006: 522-524 - [c12]Guang Gong, Solomon W. Golomb, Hong-Yeop Song:
A Note on Low Correlation Zone Signal Sets. CISS 2006: 1516-1521 - [c11]Oscar Moreno, Reza Omrani, P. Vijay Kumar, Solomon W. Golomb:
OOCs, Partial Relative Difference Families and a Conjecture of Golomb. ISIT 2006: 2632-2636 - [c10]Solomon W. Golomb:
Shift Register Sequences - A Retrospective Account. SETA 2006: 1-4 - 2004
- [c9]Wen-Qing Xu, Solomon W. Golomb:
Optimal interleaving schemes for correcting 2-D cluster errors. ISIT 2004: 23 - [c8]Oscar Moreno, Solomon W. Golomb:
A new optimal double periodical construction of one target two-dimensional arrays. ISIT 2004: 85 - [c7]Solomon W. Golomb, Pey-Feng Lee:
Which Irreducible Polynomials Divide Trinomials over GF(2)? SETA 2004: 414-424 - 2001
- [c6]Solomon W. Golomb, Guang Gong:
Hyper-Cyclotomic Algebra. SETA 2001: 154-165 - [c5]Solomon W. Golomb, Herbert Taylor:
Cyclic Projective Planes, Perfect Circular Rulers, and Good Spanning Rulers. SETA 2001: 166-181 - 1999
- [c4]Solomon W. Golomb:
On the Cryptanalysis of Nonlinear Sequences. IMACC 1999: 236-242 - 1998
- [c3]Anchung Chang, Solomon W. Golomb, Guang Gong, P. Vijay Kumar:
On Ideal Autocorrelation Sequences Arising from Hyperovals. SETA 1998: 17-38 - [c2]Solomon W. Golomb:
Cyclic Hadamard Difference Sets - Constructions and Applications. SETA 1998: 39-48 - 1966
- [c1]Solomon W. Golomb:
Combinatorial aspects of automated designs. DAC 1966
Editorship
- 2008
- [e2]Solomon W. Golomb, Matthew Geoffrey Parker, Alexander Pott, Arne Winterhof:
Sequences and Their Applications - SETA 2008, 5th International Conference, Lexington, KY, USA, September 14-18, 2008, Proceedings. Lecture Notes in Computer Science 5203, Springer 2008, ISBN 978-3-540-85911-6 [contents] - 2007
- [e1]Solomon W. Golomb, Guang Gong, Tor Helleseth, Hong-Yeop Song:
Sequences, Subsequences, and Consequences, International Workshop, SSC 2007, Los Angeles, CA, USA, May 31 - June 2, 2007, Revised Invited Papers. Lecture Notes in Computer Science 4893, Springer 2007, ISBN 978-3-540-77403-7 [contents]
Reference Works
- 2004
- [r1]Solomon W. Golomb, David A. Klarner:
Polyominoes. Handbook of Discrete and Computational Geometry, 2nd Ed. 2004: 331-352
Informal and Other Publications
- 2012
- [i1]José R. Ortiz-Ubarri, Oscar Moreno, Andrew Z. Tirkel, Rafael A. Arce-Nazario, Solomon W. Golomb:
Algebraic symmetries of generic $(m+1)$ dimensional periodic Costas arrays. CoRR abs/1205.6433 (2012)
Coauthor Index
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