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- W2704383057 abstract "In this paper, we obtain Jacobi forms over kp from byte weight enumerators of self-dual codes over Fp, where p is an odd prime, kp is the totally real field of the pth cyclotomic field and Fp is the finite field of order p. We also determine Siegel modular forms of genus g (g ≥ 1 is an integer) over kp by substituting certain theta series into byte weight enumerators in genus g of self-dual codes over Fp for all p ∈ P, where the set P consists of all those odd primes p for which the ring of algebraic integers of kp is a Euclidean domain. Further, we define some partial Epstein zeta functions and derive their functional equation using the Mellin transform of the theta series." @default.
- W2704383057 created "2017-06-30" @default.
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- W2704383057 date "2017-01-01" @default.
- W2704383057 modified "2023-10-14" @default.
- W2704383057 title "Byte weight enumerators of codes over 𝔽<SUB align=right>p and modular forms over a totally real field" @default.
- W2704383057 doi "https://doi.org/10.1504/ijicot.2017.10005828" @default.
- W2704383057 hasPublicationYear "2017" @default.
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