Abstract
Let q be a power of a prime number, F q the finite field with q elements, n an integer dividing q−1, n≥2, and χ a character of order n of the multiplicative group F*q. If X is an algebraic curve defined over F q and if G is a divisor on X, we define a non linear code Γ(q, X, G, n, χ) on an alphabet with n+1 letters. We compute the parameters of this code, through the consideration of some character sums.
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Bibliography
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© 1991 Springer-Verlag Berlin Heidelberg
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Perret, M. (1991). Multiplicative character sums and non linear geometric codes. In: Cohen, G., Charpin, P. (eds) EUROCODE '90. EUROCODE 1990. Lecture Notes in Computer Science, vol 514. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-54303-1_128
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DOI: https://doi.org/10.1007/3-540-54303-1_128
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