MinT - Information on Result #1317934

Information on Result #1317934

Linear OA(4⁸¹, 105, F₄, 42) (dual of [105, 24, 43]-code), using constructionÂ X with VarÅ¡amov bound based on

linear OA(4⁸⁰, 103, F₄, 42) (dual of [103, 23, 43]-code), using
- constructionÂ X with VarÅ¡amov bound [i] based on
  1. linear OA(4⁷⁹, 101, F₄, 42) (dual of [101, 22, 43]-code), using
    - discarding factors / shortening the dual code based on linear OA(4⁷⁹, 106, F₄, 42) (dual of [106, 27, 43]-code), using
      - strength reduction [i] based on linear OA(4⁷⁹, 106, F₄, 43) (dual of [106, 27, 44]-code), using
        a â€œGraXXâ€ code from Grasslâ€™s database [i]
  2. linear OA(4⁷⁹, 102, F₄, 41) (dual of [102, 23, 42]-code), using Gilbertâ€“VarÅ¡amov bound and b^mÂ = 4⁷⁹Â > V_b^sâˆ’1(kâˆ’1)Â = 351490 098468 010689 953075 241010 148597 829427 225912 [i]
  3. 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]
linear OA(4⁸⁰, 104, F₄, 41) (dual of [104, 24, 42]-code), using Gilbertâ€“VarÅ¡amov bound and b^mÂ = 4⁸⁰Â > V_b^sâˆ’1(kâˆ’1)Â = 937617 247392 952059 960809 150641 041396 071798 181592 [i]
linear OA(4⁰, 1, F₄, 0) (dual of [1, 1, 1]-code) (see above)

Mode: Linear.

None.

None.