MinT - Information on Result #2251667

Information on Result #2251667

Linear OA(8¹⁶¹, 233, F₈, 82) (dual of [233, 72, 83]-code), using 1 times truncation based on linear OA(8¹⁶², 234, F₈, 83) (dual of [234, 72, 84]-code), using

concatenation of two codes [i] based on
1. linear OA(64⁴², 78, F₆₄, 41) (dual of [78, 36, 42]-code), using
  - discarding factors / shortening the dual code based on linear OA(64⁴², 79, F₆₄, 41) (dual of [79, 37, 42]-code), using
    - algebraic-geometric code AG(F,37P) [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(8¹⁶¹, 116, F₈, 2, 82) (dual of [(116, 2), 71, 83]-NRT-code)	[i]		OOA Folding
2	Linear OOA(8¹⁶¹, 77, F₈, 3, 82) (dual of [(77, 3), 70, 83]-NRT-code)	[i]		OOA Folding