Nets, \((t,s)\)-sequences, and algebraic curves over finite fields with many rational points

zbMath0899.11038MaRDI QIDQ1126831

Harald Niederreiter

Publication date: 5 August 1998

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/232019

zbMATH Keywords

surveyalgebraic-geometric codesrational pointsbounds\((t,m,s)\)-nets\((t,s)\)-sequencesorthogonal arrayorthogonal latin squarescurves over a finite field

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Bounds on codes (94B65) Orthogonal arrays, Latin squares, Room squares (05B15) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Curves over finite and local fields (11G20) Finite ground fields in algebraic geometry (14G15) Pseudo-random numbers; Monte Carlo methods (11K45) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items (3)

Explicit constructions in the classical mean squares problem in irregularities of point distribution ⋮ The Khinchin inequality and Chen’s theorem ⋮ On mean values of the $L_q$-discrepancies of point distributions

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