MinT - Information on Result #2243874

Information on Result #2243874

Linear OA(4²¹¹, 355, F₄, 76) (dual of [355, 144, 77]-code), using 1 times truncation based on linear OA(4²¹², 356, F₄, 77) (dual of [356, 144, 78]-code), using

concatenation of two codes [i] based on
1. linear OA(64⁴¹, 89, F₆₄, 38) (dual of [89, 48, 39]-code), using
  - discarding factors / shortening the dual code based on linear OA(64⁴¹, 103, F₆₄, 38) (dual of [103, 62, 39]-code), using
    - algebraic-geometric code AG(F,64P) [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(4²¹¹, 177, F₄, 2, 76) (dual of [(177, 2), 143, 77]-NRT-code)	[i]		OOA Folding
2	Linear OOA(4²¹¹, 118, F₄, 3, 76) (dual of [(118, 3), 143, 77]-NRT-code)	[i]		OOA Folding