MinT - Information on Result #637083

Information on Result #637083

Linear OA(4²³⁵, 310, F₄, 113) (dual of [310, 75, 114]-code), using concatenation of two codes based on

linear OA(64³⁷, 62, F₆₄, 37) (dual of [62, 25, 38]-code or 62-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]
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 OA(4²³⁵, 310, F₄, 112) (dual of [310, 75, 113]-code)	[i]		Strength Reduction
2	Linear OA(4²³⁶, 311, F₄, 113) (dual of [311, 75, 114]-code)	[i]		Code Embedding in Larger Space
3	Linear OA(4²³⁴, 309, F₄, 112) (dual of [309, 75, 113]-code)	[i]		Truncation
4	Linear OA(4²³³, 308, F₄, 111) (dual of [308, 75, 112]-code)	[i]		Truncation
5	Linear OOA(4²³⁵, 155, F₄, 2, 113) (dual of [(155, 2), 75, 114]-NRT-code)	[i]		OOA Folding
6	Linear OOA(4²³⁵, 103, F₄, 3, 113) (dual of [(103, 3), 74, 114]-NRT-code)	[i]		OOA Folding