MinT - Information on Result #2461644

Information on Result #2461644

Linear OOA(2²⁵⁵, 229, F₂, 2, 72) (dual of [(229, 2), 203, 73]-NRT-code), using 1 step truncation based on linear OOA(2²⁵⁶, 230, F₂, 2, 73) (dual of [(230, 2), 204, 74]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OOA(16⁴¹, 46, F₁₆, 2, 36) (dual of [(46, 2), 51, 37]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(16⁴¹, 49, F₁₆, 2, 36) (dual of [(49, 2), 57, 37]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,61P) [i] based on function field F/F₁₆ with g(F) = 5 and N(F) ≥ 49, using
      - a function field by SÃ©mirat [i]
2. linear OA(2¹, 5, F₂, 1) (dual of [5, 4, 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

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(2²⁵⁵, 114, F₂, 4, 72) (dual of [(114, 4), 201, 73]-NRT-code)	[i]		OOA Folding