Hypercubic 4 and 5-Designs from Double-Error-Correcting BCH Codes

Authors:
Tor Helleseth;Torleiv Kløve;Vladimir I. Levenshtein
Affiliations:
Institutt for Informatikk, Universitetet i Bergen, Postboks 7800, N-5020 Bergen, Norway Tor.Helleseth@ii.vib.no;Department of Informatics, University of Bergen HIB, N-5020 Bergen, Norway;Keldysh Institute for Applied Mathematics, RAS, Miusskaya sq. 4, 125047 Moscow, Russia
Venue:
Designs, Codes and Cryptography
Year:
2003

Citing 3
Cited 4

An equivalence between (T, M, S)-nets and strongly orthogonal hypercubes

Journal of Combinatorial Theory Series A
Split Orthogonal Arrays and Maximum Independent ResilientSystems of Functions

Designs, Codes and Cryptography
Construction of digital (t,m,s)-nets from linear codes

FFA '95 Proceedings of the third international conference on Finite fields and applications

Elements of prescribed order, prescribed traces and systems of rational functions over finite fields

Designs, Codes and Cryptography
Finite Field Elements with Specified Order and Traces

Designs, Codes and Cryptography
A Family of Binary (t, m,s)-Nets of Strength 5

Designs, Codes and Cryptography
Constructions of (t ,m,s)-nets and (t,s)-sequences

Finite Fields and Their Applications

Quantified Score

Hi-index	0.00

Visualization

Abstract

An ordered orthogonal array OOA(τ, k, n) is a binary 2k × nτ matrix with the property that for each complete τ-set of columns, each possible τ-tuple occurs in exactly 2k−τ rows of those columns (for definition of a complete τ-set, see below). Constructions of OOA(τ, k, n) for τ = 4 and τ = 5 are given.