In this article we construct new minimal intersection sets in AG(r, q(2)) sporting three intersection numbers with hyperplanes; we then use these sets to obtain linear error correcting codes with few weights, whose weight enumerator we also determine. Furthermore, we provide a new family of three-character multisets in PG(r, q(2)) with r even and we also compute their weight distribution.
Intersection sets, three-character multisets and associated codes / Aguglia, Angela; Giuzzi, Luca. - In: DESIGNS, CODES AND CRYPTOGRAPHY. - ISSN 0925-1022. - STAMPA. - 83:2(2017), pp. 269-282. [10.1007/s10623-016-0302-8]
Intersection sets, three-character multisets and associated codes
Angela Aguglia;
2017-01-01
Abstract
In this article we construct new minimal intersection sets in AG(r, q(2)) sporting three intersection numbers with hyperplanes; we then use these sets to obtain linear error correcting codes with few weights, whose weight enumerator we also determine. Furthermore, we provide a new family of three-character multisets in PG(r, q(2)) with r even and we also compute their weight distribution.File in questo prodotto:
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