Improved bounds on Weil sums over Galois rings and homogeneous weights

Ling S., Ozbudak F.

CODING AND CRYPTOGRAPHY, cilt.3969, ss.412-426, 2006 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 3969
  • Basım Tarihi: 2006
  • Dergi Adı: CODING AND CRYPTOGRAPHY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Compendex, EMBASE, MathSciNet, Philosopher's Index, zbMATH
  • Sayfa Sayıları: ss.412-426
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

We generalize a recent improvement for the bounds of Weil sums over Galois rings of characteristic p(2) to Galois rings of any characteristic p(l). Our generalization is not as strong as for the case p(2) and we indicate the reason. We give a class of homogeneous weights, including the homogeneous weight defined by Constantinescu and Heise, and we show their relations. We also give an application of our improvements on the homogeneous weights of some codewords.