MinT - Information on Result #637479

Information on Result #637479

Linear OA(4²⁵⁸, 300, F₄, 147) (dual of [300, 42, 148]-code), using concatenation of two codes based on

linear OA(64³⁶, 50, F₆₄, 36) (dual of [50, 14, 37]-code or 50-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(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, 300, F₄, 146) (dual of [300, 42, 147]-code)	[i]		Strength Reduction
2	Linear OA(4²⁵⁸, 300, F₄, 145) (dual of [300, 42, 146]-code)	[i]
3	Linear OA(4²⁵⁸, 300, F₄, 144) (dual of [300, 42, 145]-code)	[i]
4	Linear OA(4²⁵⁹, 301, F₄, 147) (dual of [301, 42, 148]-code)	[i]		Code Embedding in Larger Space
5	Linear OA(4²⁶⁰, 302, F₄, 147) (dual of [302, 42, 148]-code)	[i]		Code Embedding in Larger Space
6	Linear OA(4²⁵⁷, 299, F₄, 146) (dual of [299, 42, 147]-code)	[i]		Truncation
7	Linear OA(4²⁵⁶, 298, F₄, 145) (dual of [298, 42, 146]-code)	[i]
8	Linear OA(4²⁵⁵, 297, F₄, 144) (dual of [297, 42, 145]-code)	[i]
9	Linear OA(4²⁵⁴, 296, F₄, 143) (dual of [296, 42, 144]-code)	[i]
10	Linear OA(4²⁵³, 295, F₄, 142) (dual of [295, 42, 143]-code)	[i]
11	Linear OA(4²⁵¹, 293, F₄, 140) (dual of [293, 42, 141]-code)	[i]
12	Linear OOA(4²⁵⁸, 150, F₄, 2, 147) (dual of [(150, 2), 42, 148]-NRT-code)	[i]		OOA Folding
13	Linear OOA(4²⁵⁸, 100, F₄, 3, 147) (dual of [(100, 3), 42, 148]-NRT-code)	[i]		OOA Folding