MinT - Information on Result #971912

Information on Result #971912

Linear OOA(5¹³, 15, F₅, 3, 7) (dual of [(15, 3), 32, 8]-NRT-code), using OOA 2-folding based on linear OOA(5¹³, 30, F₅, 2, 7) (dual of [(30, 2), 47, 8]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(5¹³, 31, F₅, 2, 7) (dual of [(31, 2), 49, 8]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(5³, 6, F₅, 2, 3) (dual of [(6, 2), 9, 4]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(2;9,5) [i]
  2. linear OOA(5¹⁰, 25, F₅, 2, 7) (dual of [(25, 2), 40, 8]-NRT-code), using
    - extracting embedded OOA [i] based on digital (3, 10, 25)-net over F₅, using
      - linear code embedding found in a computer search [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

None.