MinT - Information on Result #637499

Information on Result #637499

Linear OA(4²⁴⁶, 264, F₄, 155) (dual of [264, 18, 156]-code), using concatenation of two codes based on

linear OA(64³⁸, 44, F₆₄, 38) (dual of [44, 6, 39]-code or 44-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(4²⁴⁶, 264, F₄, 154) (dual of [264, 18, 155]-code)	[i]		Strength Reduction
2	Linear OA(4²⁴⁶, 264, F₄, 153) (dual of [264, 18, 154]-code)	[i]		Strength Reduction
3	Linear OA(4²⁴⁵, 263, F₄, 154) (dual of [263, 18, 155]-code)	[i]		Truncation
4	Linear OA(4²⁴⁴, 262, F₄, 153) (dual of [262, 18, 154]-code)	[i]
5	Linear OA(4²⁴³, 261, F₄, 152) (dual of [261, 18, 153]-code)	[i]
6	Linear OA(4²⁴¹, 259, F₄, 150) (dual of [259, 18, 151]-code)	[i]
7	Linear OOA(4²⁴⁶, 132, F₄, 2, 155) (dual of [(132, 2), 18, 156]-NRT-code)	[i]		OOA Folding
8	Linear OOA(4²⁴⁶, 88, F₄, 3, 155) (dual of [(88, 3), 18, 156]-NRT-code)	[i]		OOA Folding