MinT - Information on Result #1317930

Information on Result #1317930

Linear OA(4⁷⁰, 93, F₄, 36) (dual of [93, 23, 37]-code), using constructionÂ X with VarÅ¡amov bound based on

linear OA(4⁶⁹, 91, F₄, 36) (dual of [91, 22, 37]-code), using
- constructionÂ X with VarÅ¡amov bound [i] based on
  1. linear OA(4⁶³, 82, F₄, 36) (dual of [82, 19, 37]-code), using
    - discarding factors / shortening the dual code based on linear OA(4⁶³, 85, F₄, 36) (dual of [85, 22, 37]-code), using
      - strength reduction [i] based on linear OA(4⁶³, 85, F₄, 37) (dual of [85, 22, 38]-code), using
        a code from Grasslâ€™s database [i]
  2. linear OA(4⁶³, 85, F₄, 32) (dual of [85, 22, 33]-code), using Gilbertâ€“VarÅ¡amov bound and b^mÂ = 4⁶³Â > V_b^sâˆ’1(kâˆ’1)Â = 71 824396 507753 035040 470464 737429 332784 [i]
  3. linear OA(4³, 6, F₄, 3) (dual of [6, 3, 4]-code or 6-arc in PG(2,4) or 6-cap in PG(2,4)), using
    - hyperoval in PG(2,Â 4) [i]
    - the Hexacode [i]
linear OA(4⁶⁹, 92, F₄, 35) (dual of [92, 23, 36]-code), using Gilbertâ€“VarÅ¡amov bound and b^mÂ = 4⁶⁹Â > V_b^sâˆ’1(kâˆ’1)Â = 233603 155445 471223 060221 070036 011048 534026 [i]
linear OA(4⁰, 1, F₄, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(4⁰, s, F₄, 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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