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Difference sets of the Hadamard type and quasi-cyclic codes

✍ Scribed by V.K. Bhargava; S.E. Tavares; S.G.S. Shiva


Book ID
114037015
Publisher
Elsevier Science
Year
1974
Weight
348 KB
Volume
26
Category
Article
ISSN
0019-9958

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πŸ“œ SIMILAR VOLUMES


A conjecture on the existence of cyclic
✍ Solomon W. Golomb; Hong-Yeop Song πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 146 KB

If there exists a cyclic Hadamard difference set of length v, then v = 4n -1 is conjectured to be either a prime, or a product of "twin primes", or one less than a power of 2.

Linear Codes and the Existence of a Reve
✍ M. van Eupen; Vladimir D. Tonchev πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 284 KB

Linear codes over GF(5) are utilized for the construction of a reversible abelian Hadamard difference set in Z 2 \_Z 2 \_Z 4 5 . This is the first example of an abelian Hadamard difference set in a group of order divisible by a prime p#1 (mod 4). Applying the Turyn composition theorem, one obtains a