MinT - Information on Result #2208078

Information on Result #2208078

Linear OA(4²⁴⁹, 294, F₄, 138) (dual of [294, 45, 139]-code), using strength reduction based on linear OA(4²⁴⁹, 294, F₄, 139) (dual of [294, 45, 140]-code), using

concatenation of two codes [i] based on
1. linear OA(64³⁴, 49, F₆₄, 34) (dual of [49, 15, 35]-code or 49-arc in PG(33,64)), using
  - discarding factors / shortening the dual code based on linear OA(64³⁴, 64, F₆₄, 34) (dual of [64, 30, 35]-code or 64-arc in PG(33,64)), using
    - Reedâ€“Solomon code RS(30,64) [i]
2. 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		Method
1	Linear OA(4²⁴⁸, 293, F₄, 137) (dual of [293, 45, 138]-code)	[i]	Truncation
2	Linear OA(4²⁴⁷, 292, F₄, 136) (dual of [292, 45, 137]-code)	[i]	Truncation
3	Linear OOA(4²⁴⁹, 147, F₄, 2, 138) (dual of [(147, 2), 45, 139]-NRT-code)	[i]	OOA Folding
4	Linear OOA(4²⁴⁹, 98, F₄, 3, 138) (dual of [(98, 3), 45, 139]-NRT-code)	[i]	OOA Folding