MinT - Information on Result #2242540

Information on Result #2242540

Linear OA(4²¹¹, 262, F₄, 109) (dual of [262, 51, 110]-code), using 2 times truncation based on linear OA(4²¹³, 264, F₄, 111) (dual of [264, 51, 112]-code), using

concatenation of two codes [i] based on
1. linear OA(64²⁷, 44, F₆₄, 27) (dual of [44, 17, 28]-code or 44-arc in PG(26,64)), using
  - discarding factors / shortening the dual code based on linear OA(64²⁷, 64, F₆₄, 27) (dual of [64, 37, 28]-code or 64-arc in PG(26,64)), using
    - Reedâ€“Solomon code RS(37,64) [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(4²¹², 264, F₄, 109) (dual of [264, 52, 110]-code)	[i]	ConstructionÂ X with VarÅ¡amov Bound
2	Linear OOA(4²¹¹, 131, F₄, 2, 109) (dual of [(131, 2), 51, 110]-NRT-code)	[i]	OOA Folding
3	Linear OOA(4²¹¹, 87, F₄, 3, 109) (dual of [(87, 3), 50, 110]-NRT-code)	[i]	OOA Folding