MinT - Information on Result #2243083

Information on Result #2243083

Linear OA(4²³⁰, 287, F₄, 118) (dual of [287, 57, 119]-code), using 1 times truncation based on linear OA(4²³¹, 288, F₄, 119) (dual of [288, 57, 120]-code), using

concatenation of two codes [i] based on
1. linear OA(64²⁹, 48, F₆₄, 29) (dual of [48, 19, 30]-code or 48-arc in PG(28,64)), using
  - discarding factors / shortening the dual code based on linear OA(64²⁹, 64, F₆₄, 29) (dual of [64, 35, 30]-code or 64-arc in PG(28,64)), using
    - Reedâ€“Solomon code RS(35,64) [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(4²³¹, 289, F₄, 118) (dual of [289, 58, 119]-code)	[i]	ConstructionÂ X with VarÅ¡amov Bound
2	Linear OOA(4²³⁰, 143, F₄, 2, 118) (dual of [(143, 2), 56, 119]-NRT-code)	[i]	OOA Folding
3	Linear OOA(4²³⁰, 95, F₄, 3, 118) (dual of [(95, 3), 55, 119]-NRT-code)	[i]	OOA Folding