MinT - Information on Result #2226937

Information on Result #2226937

Linear OA(2²⁵⁸, 468, F₂, 62) (dual of [468, 210, 63]-code), using 1 times truncation based on linear OA(2²⁵⁹, 469, F₂, 63) (dual of [469, 210, 64]-code), using

concatenation of two codes [i] based on
1. linear OA(64³², 67, F₆₄, 31) (dual of [67, 35, 32]-code), using
  - discarding factors / shortening the dual code based on linear OA(64³², 79, F₆₄, 31) (dual of [79, 47, 32]-code), using
    - algebraic-geometric code AG(F,47P) [i] based on function field F/F₆₄ with g(F) = 1 and N(F) ≥ 80, using
      - a function field by SÃ©mirat [i]
2. linear OA(2¹, 7, F₂, 1) (dual of [7, 6, 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(2²⁵⁸, 234, F₂, 2, 62) (dual of [(234, 2), 210, 63]-NRT-code)	[i]		OOA Folding
2	Linear OOA(2²⁵⁸, 156, F₂, 3, 62) (dual of [(156, 3), 210, 63]-NRT-code)	[i]		OOA Folding