MinT - Information on Result #2219956

Information on Result #2219956

Linear OA(2⁶⁷, 79, F₂, 30) (dual of [79, 12, 31]-code), using 1 times truncation based on linear OA(2⁶⁸, 80, F₂, 31) (dual of [80, 12, 32]-code), using

concatenation of two codes [i] based on
1. linear OA(16⁷, 10, F₁₆, 7) (dual of [10, 3, 8]-code or 10-arc in PG(6,16)), using
  - discarding factors / shortening the dual code based on linear OA(16⁷, 16, F₁₆, 7) (dual of [16, 9, 8]-code or 16-arc in PG(6,16)), using
    - Reedâ€“Solomon code RS(9,16) [i]
2. linear OA(2⁴, 8, F₂, 3) (dual of [8, 4, 4]-code or 8-cap in PG(3,2)), using
  - Reedâ€“Muller code RM(1,3) [i]
  - caps in base bÂ =Â 2 [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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

None.