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- W1595282022 abstract "INTRODUCTION The geometry of numbers, coding theory, the Riemann hypothesis the list of key words for this lecture can be read as a partial history of the Stichting Mathematisch Centrum. The lecture itself attempts to reflect the spirit of the SMC by displaying a new connection between these subjects. Using ideas from the geometry of numbers one can construct a class of codes from algebraic number fields, and the study of the asymptotic properties of these codes depends on the generalized Riemann hypothesis. The construction described in this lecture is a generalization to algebraic number fields of the following idea to make a code. Let P be a finite set of prime numbers, and consider, for a suitable positive integer k, the set C of all elements" @default.
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- W1595282022 date "1986-01-01" @default.
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- W1595282022 title "Codes from algebraic number fields" @default.
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