MinT - Information on Result #637056

Information on Result #637056

Linear OA(4²³², 310, F₄, 110) (dual of [310, 78, 111]-code), using concatenation of two codes based on

linear OA(64³⁶, 62, F₆₄, 36) (dual of [62, 26, 37]-code or 62-arc in PG(35,64)), using
- discarding factors / shortening the dual code based on linear OA(64³⁶, 64, F₆₄, 36) (dual of [64, 28, 37]-code or 64-arc in PG(35,64)), using
  - Reedâ€“Solomon code RS(28,64) [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(4²³², 310, F₄, 109) (dual of [310, 78, 110]-code)	[i]		Strength Reduction
2	Linear OA(4²³³, 311, F₄, 110) (dual of [311, 78, 111]-code)	[i]		Code Embedding in Larger Space
3	Linear OA(4²³¹, 309, F₄, 109) (dual of [309, 78, 110]-code)	[i]		Truncation
4	Linear OA(4²³⁰, 308, F₄, 108) (dual of [308, 78, 109]-code)	[i]		Truncation
5	Linear OOA(4²³², 155, F₄, 2, 110) (dual of [(155, 2), 78, 111]-NRT-code)	[i]		OOA Folding
6	Linear OOA(4²³², 103, F₄, 3, 110) (dual of [(103, 3), 77, 111]-NRT-code)	[i]		OOA Folding