On some metrical properties of linear sub-spaces in boolean cube | Applied Discrete Mathematics. Supplement. 2015. № 8.

HomeIssuesOn some metrical properties of linear sub-spaces in boolean cube | Applied Discrete Mathematics. Supplement. 2015. № 8.

On some metrical properties of linear sub-spaces in boolean cube

Metric complements of Boolean cube subsets are studied. General characteristics of linear subspaces' metric complements are given. Sub-spaces with special bases are studied. It is proven that completely regular (and therefore perfect and uniformly packed) codes are metrically regular.

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Keywords

completely regular code, metric complement, subspace, metrically regular set, полностью регулярный код, метрическое дополнение, метрически регулярное множество, подпространство

Authors

NameOrganizationE-mail
Oblaukhov A. K.Novosibirsk State Universityoblaukhov@gmail.com
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References

Delsarte P. An Algebraic Approach to the Association Schemes of Coding Theory. Thesis. Universite Catholique de Louvain, 1973.
Sole P. Completely regular codes and completely transitive codes // Discr. Math. 1990. V. 81. Iss.2. P. 193-201.
Tokareva N. N. Bent functions: results and applications to cryptography. Acad. Press. Elsevier, 2015. 230 p.
Tokareva N. N. Duality between bent functions and affine functions // Discr. Math. 2012. V. 312. Iss.3. P. 666-670.
On some metrical properties of linear sub-spaces in boolean cube | Applied Discrete Mathematics. Supplement. 2015. № 8.

On some metrical properties of linear sub-spaces in boolean cube | Applied Discrete Mathematics. Supplement. 2015. № 8.

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