3-designs from the \(\mathbb Z_4\)-Goethals codes via a new Kloosterman sum identity
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Publication:1395764
DOI10.1023/A:1024153804090zbMath1028.94032MaRDI QIDQ1395764
P. Vijay Kumar, Tor Helleseth, Dong-Joon Shin
Publication date: 1 July 2003
Published in: Designs, Codes and Cryptography (Search for Journal in Brave)
Combinatorial aspects of block designs (05B05) Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05) Gauss and Kloosterman sums; generalizations (11L05)
Related Items (5)
On classical Kloosterman sums ⋮ On a conjecture concerning Kloosterman polynomials ⋮ Kloosterman sum identities over \(\mathbb F_{2^{m}}\). ⋮ New Kloosterman sum identities and equalities over finite fields ⋮ 3-designs from all \(\mathbb Z_{4}\)-Goethals-like codes with block size 7 and 8
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