MinT - Information on Result #2251687

Information on Result #2251687

Linear OA(8¹⁶⁹, 239, F₈, 88) (dual of [239, 70, 89]-code), using 1 times truncation based on linear OA(8¹⁷⁰, 240, F₈, 89) (dual of [240, 70, 90]-code), using

concatenation of two codes [i] based on
1. linear OA(64⁴⁵, 80, F₆₄, 44) (dual of [80, 35, 45]-code), using
  - extended algebraic-geometric code AG_e(F,35P) [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		Method
1	Linear OA(8¹⁷¹, 241, F₈, 88) (dual of [241, 70, 89]-code)	[i]	Code Embedding in Larger Space
2	Linear OA(8¹⁷², 242, F₈, 88) (dual of [242, 70, 89]-code)	[i]
3	Linear OA(8¹⁷³, 243, F₈, 88) (dual of [243, 70, 89]-code)	[i]
4	Linear OOA(8¹⁶⁹, 119, F₈, 2, 88) (dual of [(119, 2), 69, 89]-NRT-code)	[i]	OOA Folding
5	Linear OOA(8¹⁶⁹, 79, F₈, 3, 88) (dual of [(79, 3), 68, 89]-NRT-code)	[i]	OOA Folding