MinT - Information on Result #2240209

Information on Result #2240209

Linear OA(4¹⁵⁶, 189, F₄, 84) (dual of [189, 33, 85]-code), using 3 times truncation based on linear OA(4¹⁵⁹, 192, F₄, 87) (dual of [192, 33, 88]-code), using

concatenation of two codes [i] based on
1. linear OA(64²¹, 32, F₆₄, 21) (dual of [32, 11, 22]-code or 32-arc in PG(20,64)), using
  - discarding factors / shortening the dual code based on linear OA(64²¹, 64, F₆₄, 21) (dual of [64, 43, 22]-code or 64-arc in PG(20,64)), using
    - Reedâ€“Solomon code RS(43,64) [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(4¹⁵⁸, 192, F₄, 84) (dual of [192, 34, 85]-code)	[i]	ConstructionÂ X with VarÅ¡amov Bound
2	Linear OOA(4¹⁵⁶, 94, F₄, 2, 84) (dual of [(94, 2), 32, 85]-NRT-code)	[i]	OOA Folding
3	Linear OOA(4¹⁵⁶, 63, F₄, 3, 84) (dual of [(63, 3), 33, 85]-NRT-code)	[i]	OOA Folding