MinT - Information on Result #2243567

Information on Result #2243567

Linear OA(4²³⁶, 314, F₄, 112) (dual of [314, 78, 113]-code), using 1 times truncation based on linear OA(4²³⁷, 315, F₄, 113) (dual of [315, 78, 114]-code), using

concatenation of two codes [i] based on
1. linear OA(64³⁷, 63, F₆₄, 37) (dual of [63, 26, 38]-code or 63-arc in PG(36,64)), using
  - discarding factors / shortening the dual code based on linear OA(64³⁷, 64, F₆₄, 37) (dual of [64, 27, 38]-code or 64-arc in PG(36,64)), using
    - Reedâ€“Solomon code RS(27,64) [i]
2. linear OA(4², 5, F₄, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,4)), using
  - extended Reedâ€“Solomon code RS_e(3,4) [i]
  - Hamming code H(2,4) [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(4²³⁶, 157, F₄, 2, 112) (dual of [(157, 2), 78, 113]-NRT-code)	[i]		OOA Folding
2	Linear OOA(4²³⁶, 104, F₄, 3, 112) (dual of [(104, 3), 76, 113]-NRT-code)	[i]		OOA Folding