MinT - Information on Result #1106351

Information on Result #1106351

Linear OOA(3²⁰⁸, 43, F₃, 5, 134) (dual of [(43, 5), 7, 135]-NRT-code), using OOA 5-folding based on linear OA(3²⁰⁸, 215, F₃, 134) (dual of [215, 7, 135]-code), using

discarding factors / shortening the dual code based on linear OA(3²⁰⁸, 216, F₃, 134) (dual of [216, 8, 135]-code), using
- concatenation of two codes [i] based on
  1. linear OA(9⁵⁰, 54, F₉, 44) (dual of [54, 4, 45]-code), using
    - 1 times truncation [i] based on linear OA(9⁵¹, 55, F₉, 45) (dual of [55, 4, 46]-code), using
      - a quasi-cyclic code by Bierbrauer and Gulliver [i]
  2. linear OA(3², 4, F₃, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,3)), using
    - extended Reedâ€“Solomon code RS_e(2,3) [i]
    - Hamming code H(2,3) [i]
    - Simplex code S(2,3) [i]
    - the Tetracode [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.