MinT - Information on Result #637378

Information on Result #637378

Linear OA(4²³¹, 288, F₄, 119) (dual of [288, 57, 120]-code), using concatenation of two codes based on

linear OA(64²⁹, 48, F₆₄, 29) (dual of [48, 19, 30]-code or 48-arc in PG(28,64)), using
- discarding factors / shortening the dual code based on linear OA(64²⁹, 64, F₆₄, 29) (dual of [64, 35, 30]-code or 64-arc in PG(28,64)), using
  - Reedâ€“Solomon code RS(35,64) [i]
linear OA(4³, 6, F₄, 3) (dual of [6, 3, 4]-code or 6-arc in PG(2,4) or 6-cap in PG(2,4)), using
- hyperoval in PG(2,Â 4) [i]
- the Hexacode [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(4²³¹, 288, F₄, 118) (dual of [288, 57, 119]-code)	[i]		Strength Reduction
2	Linear OA(4²³¹, 288, F₄, 117) (dual of [288, 57, 118]-code)	[i]		Strength Reduction
3	Linear OA(4²³², 289, F₄, 119) (dual of [289, 57, 120]-code)	[i]		Code Embedding in Larger Space
4	Linear OA(4²³⁰, 287, F₄, 118) (dual of [287, 57, 119]-code)	[i]		Truncation
5	Linear OA(4²²⁹, 286, F₄, 117) (dual of [286, 57, 118]-code)	[i]
6	Linear OA(4²²⁷, 284, F₄, 115) (dual of [284, 57, 116]-code)	[i]
7	Linear OA(4²²⁶, 283, F₄, 114) (dual of [283, 57, 115]-code)	[i]
8	Linear OOA(4²³¹, 144, F₄, 2, 119) (dual of [(144, 2), 57, 120]-NRT-code)	[i]		OOA Folding
9	Linear OOA(4²³¹, 96, F₄, 3, 119) (dual of [(96, 3), 57, 120]-NRT-code)	[i]		OOA Folding