MinT - Information on Result #637494

Information on Result #637494

Linear OA(4²⁴⁰, 258, F₄, 151) (dual of [258, 18, 152]-code), using concatenation of two codes based on

linear OA(64³⁷, 43, F₆₄, 37) (dual of [43, 6, 38]-code or 43-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(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(4²⁴⁰, 258, F₄, 150) (dual of [258, 18, 151]-code)	[i]		Strength Reduction
2	Linear OA(4²³⁹, 257, F₄, 150) (dual of [257, 18, 151]-code)	[i]		Truncation
3	Linear OA(4²³⁷, 255, F₄, 148) (dual of [255, 18, 149]-code)	[i]
4	Linear OA(4²³⁶, 254, F₄, 147) (dual of [254, 18, 148]-code)	[i]
5	Linear OA(4²³⁵, 253, F₄, 146) (dual of [253, 18, 147]-code)	[i]
6	Linear OA(4²³³, 251, F₄, 144) (dual of [251, 18, 145]-code)	[i]
7	Linear OOA(4²⁴⁰, 129, F₄, 2, 151) (dual of [(129, 2), 18, 152]-NRT-code)	[i]		OOA Folding
8	Linear OOA(4²⁴⁰, 86, F₄, 3, 151) (dual of [(86, 3), 18, 152]-NRT-code)	[i]		OOA Folding