Dr. Hai Quang Dinh
The Algebra Seminar series presents Dr. Hai Quang Dinh discussing “Symbol-Triple Distance of Repeated-Root Constacylic Codes of Prime Power Lengths” on Wednesday, Oct. 31, at 4:30 p.m.
Dinh is from Kent State University.
Abstract: Let $p$ be an odd prime, $s$ and $m$ be positive integers and $\lambda$ be a nonzero element of $\mathbb{F}_{p^m}$. The $\lambda$-constacyclic codes of length $p^s$ over $\mathbb{F}_{p^m}$ are linearly ordered under set theoretic inclusion as ideals of the chain ring $\mathbb{F}_{p^m}[x]/\langle x^{p^s}-\lambda \rangle$. Using this structure, the symbol-triple distances of all such $\lambda-$constacyclic codes are established. All maximum distance separable symbol-triple constacyclic codes of length $p^s$ are also determined as an application.
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