arXiv Open Access 2019

Representations of code loops by binary codes

Rosemary Miguel Pires Alexandre Grishkov Marina Rasskazova

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Abstrak

Code loops are Moufang loops constructed from doubly even binary codes. Then, given a code loop L, we ask which doubly even binary code V produces L. In this sense, V is called a representation of L. In this article we define and determine all minimal and reduced representations of nonassociative code loops of rank 3 and 4.

Topik & Kata Kunci

math.RT

Penulis (3)

Rosemary Miguel Pires

Alexandre Grishkov

Marina Rasskazova

Format Sitasi

APA MLA BibTeX

Pires, R.M., Grishkov, A., Rasskazova, M. (2019). Representations of code loops by binary codes. https://arxiv.org/abs/1909.05143

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2019
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓