Kurz S, Kurz S (2024)
Publication Type: Conference contribution
Publication year: 2024
Publisher: Springer Science and Business Media Deutschland GmbH
Book Volume: 14749 LNCS
Pages Range: 97-105
Conference Proceedings Title: Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Event location: Durham, GBR
ISBN: 9783031645280
DOI: 10.1007/978-3-031-64529-7_11
Linear codes related to applications in Galois Geometry often require a certain divisibility of the occurring weights. In this paper we present an algorithmic framework for the classification of linear codes over finite fields with restricted sets of weights. The underlying algorithms are based on lattice point enumeration and integer linear programming. We present new enumeration and non-existence results for projective two-weight codes, divisible codes, and additive F4-codes.
APA:
Kurz, S., & Kurz, S. (2024). Computer Classification of Linear Codes Based on Lattice Point Enumeration. In Kevin Buzzard, Alicia Dickenstein, Bettina Eick, Anton Leykin, Yue Ren (Eds.), Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (pp. 97-105). Durham, GBR: Springer Science and Business Media Deutschland GmbH.
MLA:
Kurz, Sascha, and Sascha Kurz. "Computer Classification of Linear Codes Based on Lattice Point Enumeration." Proceedings of the 8th International Conference on Mathematical Software, ICMS 2024, Durham, GBR Ed. Kevin Buzzard, Alicia Dickenstein, Bettina Eick, Anton Leykin, Yue Ren, Springer Science and Business Media Deutschland GmbH, 2024. 97-105.
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