MinT - Information on Result #2241690

Information on Result #2241690

Linear OA(4¹⁹⁰, 232, F₄, 101) (dual of [232, 42, 102]-code), using 2 times truncation based on linear OA(4¹⁹², 234, F₄, 103) (dual of [234, 42, 104]-code), using

concatenation of two codes [i] based on
1. linear OA(64²⁵, 39, F₆₄, 25) (dual of [39, 14, 26]-code or 39-arc in PG(24,64)), using
  - discarding factors / shortening the dual code based on linear OA(64²⁵, 64, F₆₄, 25) (dual of [64, 39, 26]-code or 64-arc in PG(24,64)), using
    - Reedâ€“Solomon code RS(39,64) [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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		Method
1	Linear OA(4¹⁹², 235, F₄, 101) (dual of [235, 43, 102]-code)	[i]	ConstructionÂ X with VarÅ¡amov Bound
2	Linear OOA(4¹⁹⁰, 116, F₄, 2, 101) (dual of [(116, 2), 42, 102]-NRT-code)	[i]	OOA Folding
3	Linear OOA(4¹⁹⁰, 77, F₄, 3, 101) (dual of [(77, 3), 41, 102]-NRT-code)	[i]	OOA Folding