MinT - Information on Result #2244363

Information on Result #2244363

Linear OA(4²⁵³, 391, F₄, 98) (dual of [391, 138, 99]-code), using 1 times truncation based on linear OA(4²⁵⁴, 392, F₄, 99) (dual of [392, 138, 100]-code), using

concatenation of two codes [i] based on
1. linear OA(64⁵², 98, F₆₄, 49) (dual of [98, 46, 50]-code), using
  - discarding factors / shortening the dual code based on linear OA(64⁵², 103, F₆₄, 49) (dual of [103, 51, 50]-code), using
    - algebraic-geometric code AG(F,53P) [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(4²⁵³, 195, F₄, 2, 98) (dual of [(195, 2), 137, 99]-NRT-code)	[i]		OOA Folding
2	Linear OOA(4²⁵³, 130, F₄, 3, 98) (dual of [(130, 3), 137, 99]-NRT-code)	[i]		OOA Folding