5 papers
AMDS Symbol-Pair Codes from Repeated-Root Cyclic Codes
Junru Ma
Symbol-pair codes are proposed to guard against pair-errors in symbol-pair read channels. The minimum symbol-pair distance is of significance in determining the error-correcting ca…
Constructions of MDS symbol-pair codes with minimum distance seven or eight
Junru Ma, Jinquan Luo
Symbol-pair codes are proposed to guard against pair-errors in symbol-pair read channels. The minimum symbol-pair distance plays a vital role in determining the error-correcting ca…
Symbol-pair Weight Distributions of Some Linear Codes
Junru Ma, Jinquan Luo
In this paper, we investigate the symbol-pair weight distributions of MDS codes and simplex codes over finite fields. Furthermore, the result shows that all the nonzero codewords o…
New Perfect Nonlinear Functions and Their Semifields
Jinquan Luo, Junru Ma
In this paper, two new classes of perfect nonlinear functions over are proposed, where is an odd prime. Furthermore, we investigate the nucleus of the cor…
New Perfect Nonlinear Functions over Finite Fields
Jinquan Luo, Junru Ma, Min Tu
In this paper we present a new class of perfect nonlinear %Dembowski-Ostrom polynomials over for any odd prime . In addition, we show that the new perfect…