MinT - Information on Result #819729

Information on Result #819729

Linear OOA(3¹¹⁴, 61, F₃, 2, 72) (dual of [(61, 2), 8, 73]-NRT-code), using OOA 2-folding based on linear OA(3¹¹⁴, 122, F₃, 72) (dual of [122, 8, 73]-code), using

2 times truncation [i] based on linear OA(3¹¹⁶, 124, F₃, 74) (dual of [124, 8, 75]-code), using
- concatenation of two codes [i] based on
  1. linear OA(9²⁷, 31, F₉, 24) (dual of [31, 4, 25]-code), using
    - 1 times truncation [i] based on linear OA(9²⁸, 32, F₉, 25) (dual of [32, 4, 26]-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.