MinT - Information on Result #1301490

Information on Result #1301490

Linear OA(5⁷⁷, 96, F₅, 45) (dual of [96, 19, 46]-code), using constructionÂ X with VarÅ¡amov bound based on

linear OA(5⁷⁶, 94, F₅, 45) (dual of [94, 18, 46]-code), using
- 2 times truncation [i] based on linear OA(5⁷⁸, 96, F₅, 47) (dual of [96, 18, 48]-code), using
  - concatenation of two codes [i] based on
    1. linear OA(25¹⁵, 24, F₂₅, 15) (dual of [24, 9, 16]-code or 24-arc in PG(14,25)), using
      - discarding factors / shortening the dual code based on linear OA(25¹⁵, 25, F₂₅, 15) (dual of [25, 10, 16]-code or 25-arc in PG(14,25)), using
        Reedâ€“Solomon code RS(10,25) [i]
    2. linear OA(5², 4, F₅, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,5)), using
      - discarding factors / shortening the dual code based on linear OA(5², 5, F₅, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,5)), using
        Reedâ€“Solomon code RS(3,5) [i]
linear OA(5⁷⁶, 95, F₅, 44) (dual of [95, 19, 45]-code), using Gilbertâ€“VarÅ¡amov bound and b^mÂ = 5⁷⁶Â > V_b^sâˆ’1(kâˆ’1)Â = 112864 525680 815655 429870 485621 016305 391077 130226 052777 [i]
linear OA(5⁰, 1, F₅, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(5⁰, s, F₅, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
  - OA with only one run / dual of code without redundancy [i]

Mode: Linear.

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