MinT - Information on Result #836550

Information on Result #836550

Linear OOA(5²⁷, 15, F₅, 2, 22) (dual of [(15, 2), 3, 23]-NRT-code), using OOA 2-folding based on linear OA(5²⁷, 30, F₅, 22) (dual of [30, 3, 23]-code), using

discarding factors / shortening the dual code based on linear OA(5²⁷, 31, F₅, 22) (dual of [31, 4, 23]-code), using
- 1 times truncation [i] based on linear OA(5²⁸, 32, F₅, 23) (dual of [32, 4, 24]-code), using
  - constructionÂ X applied to C₁ âŠ‚ C₂ with C₁ a [26,1,25]-code [i] based on
    1. linear OA(5²², 26, F₅, 19) (dual of [26, 4, 20]-code), using projective code from ovoid in PG(3,Â 5) [i]
    2. linear OA(5³, 6, F₅, 3) (dual of [6, 3, 4]-code or 6-arc in PG(2,5) or 6-cap in PG(2,5)), using
      - extended Reedâ€“Solomon code RS_e(3,5) [i]
      - oval in PG(2,Â 5) [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.