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Almost supplementary difference sets and quaternary sequences with optimal autocorrelation
| Content Provider | Semantic Scholar |
|---|---|
| Author | Armario, Jos'e Andr'es Flannery, Dane L. |
| Copyright Year | 2020 |
| Abstract | We introduce almost supplementary difference sets (ASDS). For odd m, certain ASDS in ℤm$\mathbb Z_{m}$ that have amicable incidence matrices are equivalent to quaternary sequences of odd length m with optimal autocorrelation. As one consequence, if 2m − 1 is a prime power, or m ≡ 1 mod 4 is prime, then ASDS of this kind exist. We also explore connections to optimal binary sequences and group cohomology. |
| Starting Page | 1 |
| Ending Page | 12 |
| Page Count | 12 |
| File Format | PDF HTM / HTML |
| DOI | 10.1007/s12095-019-00418-x |
| Alternate Webpage(s) | http://www.maths.nuigalway.ie/~dane/ASDS.pdf |
| Alternate Webpage(s) | http://export.arxiv.org/pdf/1911.08828 |
| Alternate Webpage(s) | https://arxiv.org/pdf/1911.08828v2.pdf |
| Alternate Webpage(s) | https://doi.org/10.1007/s12095-019-00418-x |
| Journal | Cryptography and Communications |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
