MinT - Information on Result #948163

Information on Result #948163

Linear OOA(2⁸², 30, F₂, 3, 41) (dual of [(30, 3), 8, 42]-NRT-code), using OOA 3-folding based on linear OA(2⁸², 90, F₂, 41) (dual of [90, 8, 42]-code), using

concatenation of two codes [i] based on
1. linear OA(4²⁶, 30, F₄, 20) (dual of [30, 4, 21]-code), using
  - 1 times truncation [i] based on linear OA(4²⁷, 31, F₄, 21) (dual of [31, 4, 22]-code), using
    - an explicit generator matrix [i]
2. linear OA(2¹, 3, F₂, 1) (dual of [3, 2, 2]-code), using
  - discarding factors / shortening the dual code based on linear OA(2¹, s, F₂, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
    - parity-check code [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.