MinT - Information on Result #2244445

Information on Result #2244445

Linear OA(4²⁵⁵, 435, F₄, 88) (dual of [435, 180, 89]-code), using 1 times truncation based on linear OA(4²⁵⁶, 436, F₄, 89) (dual of [436, 180, 90]-code), using

concatenation of two codes [i] based on
1. linear OA(64⁴⁹, 109, F₆₄, 44) (dual of [109, 60, 45]-code), using
  - discarding factors / shortening the dual code based on linear OA(64⁴⁹, 127, F₆₄, 44) (dual of [127, 78, 45]-code), using
    - algebraic-geometric code AG(F,82P) [i] based on function field F/F₆₄ with g(F) = 5 and N(F) ≥ 128, 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(4²⁵⁵, 217, F₄, 2, 88) (dual of [(217, 2), 179, 89]-NRT-code)	[i]		OOA Folding
2	Linear OOA(4²⁵⁵, 145, F₄, 3, 88) (dual of [(145, 3), 180, 89]-NRT-code)	[i]		OOA Folding