MinT - Information on Result #2274936

Information on Result #2274936

Linear OA(4²²⁵, 417, F₄, 75) (dual of [417, 192, 76]-code), using 1 times code embedding in larger space based on linear OA(4²²⁴, 416, F₄, 75) (dual of [416, 192, 76]-code), using

concatenation of two codes [i] based on
1. linear OA(64⁴⁰, 104, F₆₄, 37) (dual of [104, 64, 38]-code), using
  - extended algebraic-geometric code AG_e(F,66P) [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(4²²⁵, 139, F₄, 3, 75) (dual of [(139, 3), 192, 76]-NRT-code)	[i]		OOA Folding