A recursive construction for difference systems of sets

Author:

Chisaki ShokoORCID,Kimura Yui,Miyamoto Nobuko

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computer Science Applications

Reference9 articles.

1. Fuji-Hara R., Munemasa A., Tonchev V.D.: Hyperplane partitions and difference systems of sets. J. Comb. Theory Ser. A 113(8), 1689–1698 (2006).

2. Fujiwara Y., Fuji-Hara R.: Frequency hopping sequences with optimal auto-and cross-correlation properties and related codes, In: Proceedings of Tenth International Workshop Algebraic Combinatorial Coding Theory, pp. 83–96 (2006).

3. Golomb S.W., Gordon B., Welch L.R.: Comma-free codes. Can. J. Math. 10(2), 202–209 (1958).

4. Lei J., Fan C.: Optimal difference systems of sets and partition-type cyclic difference packings. Des. Codes Cryptogr. 58(2), 135–153 (2011).

5. Levenshtein V.I.: One method of constructing quasilinear codes providing synchronization in the presence of errors. Probl. Pereda. Inform. 7(3), 215–222 (1971).

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1. Some New Constructions of Difference Systems of Sets;Graphs and Combinatorics;2023-12-23

2. The Asymptotics of Difference Systems of Sets for Synchronization and Phase Detection;2023 IEEE International Symposium on Information Theory (ISIT);2023-06-25

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