Jinquan Luo

most citedExponential Sums, Cyclic Codes and Sequences: the Odd Characteristic Kasami Case

9 citations · 12 across the 5 of their papers we have counts for

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cs.IT2009★ 2 cited

On Binary Cyclic Codes with Five Nonzero Weights

Jinquan Luo

Let $q = 2^{n}$ , $0 \leq k \leq n - 1$ , $n / g cd (n, k)$ be odd and $k \neq = n /3, 2 n /3$ . In this paper the value distribution of following exponential sums \[\sum\limits_{x\in \bF_q}(-1)^{\math…

cs.IT2009

Cyclic Codes and Sequences from Kasami-Welch Functions

Jinquan Luo, San Ling, Chaoping Xing

Let $q = 2^{n}$ , $0 \leq k \leq n - 1$ and $k \neq = n /2$ . In this paper we determine the value distribution of following exponential sums \[\sum\limits_{x\in \bF_q}(-1)^{\Tra_1^n(αx^{2^{3k}+…

cs.IT2009

Cyclic Codes and Sequences: the Generalized Kasami Case

Jinquan Luo, Hongyu Wang, Yuansheng Tang

Let $q = 2^{n}$ with $n = 2 m$ . Let $1 \leq k \leq n - 1$ and $k \neq = m$ . In this paper we determine the value distribution of following exponential sums \[\sum\limits_{x\in \bF_q}(-1)^{\Tra_…

cs.IT2009★ 1 cited

Cyclic Codes and Sequences from a Class of Dembowski-Ostrom Functions

Jinquan Luo, San Ling, Chaoping Xing

Let $q = p^{n}$ with $p$ be an odd prime. Let $0 \leq k \leq n - 1$ and $k \neq = n /2$ . In this paper we determine the value distribution of following exponential(character) sums \[\sum\limit…

cs.IT2009★ 9 cited

Exponential Sums, Cyclic Codes and Sequences: the Odd Characteristic Kasami Case

Jinquan Luo, Yuansheng Tang, Hongyu Wang

Let $q = p^{n}$ with $n = 2 m$ and $p$ be an odd prime. Let $0 \leq k \leq n - 1$ and $k \neq = m$ . In this paper we determine the value distribution of following exponential(character) sums \[\…