MinT - Information on Result #2251642

Information on Result #2251642

Linear OA(8¹⁵³, 227, F₈, 76) (dual of [227, 74, 77]-code), using 1 times truncation based on linear OA(8¹⁵⁴, 228, F₈, 77) (dual of [228, 74, 78]-code), using

concatenation of two codes [i] based on
1. linear OA(64³⁹, 76, F₆₄, 38) (dual of [76, 37, 39]-code), using
  - discarding factors / shortening the dual code based on linear OA(64³⁹, 79, F₆₄, 38) (dual of [79, 40, 39]-code), using
    - algebraic-geometric code AG(F,40P) [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(8¹, 3, F₈, 1) (dual of [3, 2, 2]-code), using
  - discarding factors / shortening the dual code based on linear OA(8¹, s, F₈, 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(8¹⁵³, 113, F₈, 2, 76) (dual of [(113, 2), 73, 77]-NRT-code)	[i]		OOA Folding
2	Linear OOA(8¹⁵³, 75, F₈, 3, 76) (dual of [(75, 3), 72, 77]-NRT-code)	[i]		OOA Folding