Introduction to finite fields and their applications
Introduction to finite fields and their applications
Design theory
An Infinite Family of 3-Designs from Preparata Codes overZ_4
Designs, Codes and Cryptography
Two New Infinite Families of 3-Designs from Kerdock Codesover \mbox{ Z } _4
Designs, Codes and Cryptography
New infinite families of 3-designs from preparata codes over Z4
Discrete Mathematics
Infinite Families of 3-Designs from Z4-Goethals Codes with Block Size 8
SIAM Journal on Discrete Mathematics
Translations of the squares in a finite field and an infinite family of 3-designs
European Journal of Combinatorics
Elliptic Curves: Number Theory and Cryptography
Elliptic Curves: Number Theory and Cryptography
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In this paper, we show that the stabilizer subgroup of D"f^+={a@?F"q|f(a)@?(F"q^x)^2} for a f@?F"q[x] without multiple roots can be derived from the stabilizer of D"f^0={a@?F@?"q|f(a)=0}@?{~}. As an application, we construct a family of 3-designs such as 3-(q+1,q-12,(q-1)(q-3)(q-5)16), where q is a prime power such that q=3(mod4) and q=59.