MinT - Information on Result #906429

Information on Result #906429

Linear OOA(5¹², 84, F₅, 2, 5) (dual of [(84, 2), 156, 6]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(5¹, 21, F₅, 2, 1) (dual of [(21, 2), 41, 2]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5¹, s, F₅, 2, 1) for arbitrarily large s, using
  - appending 1 arbitrary column [i] based on linear OA(5¹, s, F₅, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
    - parity-check code [i]
linear OOA(5¹, 21, F₅, 2, 1) (dual of [(21, 2), 41, 2]-NRT-code) (see above)
linear OOA(5³, 21, F₅, 2, 2) (dual of [(21, 2), 39, 3]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5³, 31, F₅, 2, 2) (dual of [(31, 2), 59, 3]-NRT-code), using
  - appending kth column [i] based on linear OA(5³, 31, F₅, 2) (dual of [31, 28, 3]-code), using
    - Hamming code H(3,5) [i]
linear OOA(5⁷, 21, F₅, 2, 5) (dual of [(21, 2), 35, 6]-NRT-code), using
- extracting embedded OOA [i] based on digital (2, 7, 21)-net over F₅, using
  - linear code embedding found in a computer search [i]

Mode: Constructive and linear.

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