MinT - Information on Result #1099977

Information on Result #1099977

Linear OOA(2¹⁷⁸, 37, F₂, 5, 91) (dual of [(37, 5), 7, 92]-NRT-code), using OOA 5-folding based on linear OA(2¹⁷⁸, 185, F₂, 91) (dual of [185, 7, 92]-code), using

discarding factors / shortening the dual code based on linear OA(2¹⁷⁸, 186, F₂, 91) (dual of [186, 8, 92]-code), using
- concatenation of two codes [i] based on
  1. linear OA(4⁵⁸, 62, F₄, 45) (dual of [62, 4, 46]-code), using
    - 2 times truncation [i] based on linear OA(4⁶⁰, 64, F₄, 47) (dual of [64, 4, 48]-code), using
      - a code of Belov type defined by PG(3,4) ∖ PG(2,4) [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.