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All Journal Unisda Journal of Mathematics and Computer Science (UJMC)
Nur Hamid
Unviversitas Nurul Jadid
Computer Science & IT Education Mathematics

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Basis untuk Ruang Pencacah Bobot dari Kode Linier atas GF(4) Intan Putri Wardani; Nur Hamid
UJMC (Unisda Journal of Mathematics and Computer Science) Vol. 12 No. 1 (2026): Unisda Journal of Mathematics and Computer Science
Publisher : Mathematics Department, Faculty of Sciences and Technology Unisda Lamongan

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Abstract

This study discusses the basis of a polynomial space generated by the weight enumerators of linear codes over GF(4) for several lengths, namely 2, 4, 6, 8, and 10. The results of the study show that each set of weight counters forms a space with dimensions that depend on the length of the code, namely 1, 1, 2, 4, and 5. This shows that the longer the code, the larger the dimensions of the space obtained.
Co-Authors Intan Putri Wardani