MinT - Information on Result #2244249

Information on Result #2244249

Linear OA(4²³², 391, F₄, 84) (dual of [391, 159, 85]-code), using 1 times truncation based on linear OA(4²³³, 392, F₄, 85) (dual of [392, 159, 86]-code), using

concatenation of two codes [i] based on
1. linear OA(64⁴⁵, 98, F₆₄, 42) (dual of [98, 53, 43]-code), using
  - discarding factors / shortening the dual code based on linear OA(64⁴⁵, 103, F₆₄, 42) (dual of [103, 58, 43]-code), using
    - algebraic-geometric code AG(F,60P) [i] based on function field F/F₆₄ with g(F) = 3 and N(F) ≥ 104, using
      - a function field by SÃ©mirat [i]
2. linear OA(4¹, 4, F₄, 1) (dual of [4, 3, 2]-code), using
  - discarding factors / shortening the dual code based on linear OA(4¹, s, F₄, 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(4²³², 195, F₄, 2, 84) (dual of [(195, 2), 158, 85]-NRT-code)	[i]		OOA Folding
2	Linear OOA(4²³², 130, F₄, 3, 84) (dual of [(130, 3), 158, 85]-NRT-code)	[i]		OOA Folding