MinT - Information on Result #637495

Information on Result #637495

Linear OA(4²⁵⁸, 288, F₄, 155) (dual of [288, 30, 156]-code), using concatenation of two codes based on

linear OA(64³⁸, 48, F₆₄, 38) (dual of [48, 10, 39]-code or 48-arc in PG(37,64)), using
- discarding factors / shortening the dual code based on linear OA(64³⁸, 64, F₆₄, 38) (dual of [64, 26, 39]-code or 64-arc in PG(37,64)), using
  - Reedâ€“Solomon code RS(26,64) [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(4²⁵⁸, 288, F₄, 154) (dual of [288, 30, 155]-code)	[i]		Strength Reduction
2	Linear OA(4²⁵⁸, 288, F₄, 153) (dual of [288, 30, 154]-code)	[i]
3	Linear OA(4²⁵⁸, 288, F₄, 152) (dual of [288, 30, 153]-code)	[i]
4	Linear OA(4²⁵⁹, 289, F₄, 155) (dual of [289, 30, 156]-code)	[i]		Code Embedding in Larger Space
5	Linear OA(4²⁶⁰, 290, F₄, 155) (dual of [290, 30, 156]-code)	[i]		Code Embedding in Larger Space
6	Linear OA(4²⁵⁷, 287, F₄, 154) (dual of [287, 30, 155]-code)	[i]		Truncation
7	Linear OA(4²⁵⁶, 286, F₄, 153) (dual of [286, 30, 154]-code)	[i]
8	Linear OA(4²⁵⁵, 285, F₄, 152) (dual of [285, 30, 153]-code)	[i]
9	Linear OA(4²⁵⁴, 284, F₄, 151) (dual of [284, 30, 152]-code)	[i]
10	Linear OA(4²⁵³, 283, F₄, 150) (dual of [283, 30, 151]-code)	[i]
11	Linear OA(4²⁵¹, 281, F₄, 148) (dual of [281, 30, 149]-code)	[i]
12	Linear OOA(4²⁵⁸, 144, F₄, 2, 155) (dual of [(144, 2), 30, 156]-NRT-code)	[i]		OOA Folding
13	Linear OOA(4²⁵⁸, 96, F₄, 3, 155) (dual of [(96, 3), 30, 156]-NRT-code)	[i]		OOA Folding