Reconstructing Sets of Latin Squares, Linear and Equivalent to Linear Codes

Evgeny V. Gorkunov, Vitaly R. Danilko

Результат исследования: Публикации в книгах, отчётах, сборниках, трудах конференцийстатья в сборнике материалов конференциинаучнаярецензирование

Аннотация

We consider the reconstruction problem concerning latin squares, sets of mutually orthogonal latin squares as well as linear and equivalent to linear codes in a vector space over a finite field. With regard to this problem we discuss related topics on intersection of combinatorial objects of the same class. An algorithm reconstructing latin squares and its sets is presented. By this way it is shown for q 3, 4, 5, 7 that the Bose complete set of mutually orthogonal latin squares of order q with 2q-1 or less blank entries in each square at the same places is reconstructed uniquely. We also point some recently obtained results on the maximum intersection of linear and equivalent to linear codes, and their applications as well.

Язык оригиналаанглийский
Название основной публикации2019 16th International Symposium "Problems of Redundancy in Information and Control Systems", REDUNDANCY 2019
ИздательInstitute of Electrical and Electronics Engineers Inc.
Страницы47-51
Число страниц5
ISBN (электронное издание)9781728119441
DOI
СостояниеОпубликовано - окт 2019
Событие16th International Symposium "Problems of Redundancy in Information and Control Systems", REDUNDANCY 2019 - Moscow, Российская Федерация
Продолжительность: 21 окт 201925 окт 2019

Серия публикаций

Название2019 16th International Symposium "Problems of Redundancy in Information and Control Systems", REDUNDANCY 2019

Конференция

Конференция16th International Symposium "Problems of Redundancy in Information and Control Systems", REDUNDANCY 2019
СтранаРоссийская Федерация
ГородMoscow
Период21.10.201925.10.2019

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  • Цитировать

    Gorkunov, E. V., & Danilko, V. R. (2019). Reconstructing Sets of Latin Squares, Linear and Equivalent to Linear Codes. В 2019 16th International Symposium "Problems of Redundancy in Information and Control Systems", REDUNDANCY 2019 (стр. 47-51). [9003314] (2019 16th International Symposium "Problems of Redundancy in Information and Control Systems", REDUNDANCY 2019). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/REDUNDANCY48165.2019.9003314