CRJul 31, 2017
On Some Exponential Sums Related to the Coulter's Polynomial
arXiv:1707.09708v1
Originality Synthesis-oriented
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This work is incremental, potentially benefiting coding theory by enabling more efficient linear code designs.
The authors derived formulas for exponential sums over finite fields related to Coulter's polynomial using existing theorems, which could aid in constructing linear codes with few weights.
In this paper, the formulas of some exponential sums over finite field, related to the Coulter's polynomial, are settled based on the Coulter's theorems on Weil sums, which may have potential application in the construction of linear codes with few weights.