MinT - Information on Result #2204976

Information on Result #2204976

Linear OA(4¹⁹⁸, 234, F₄, 110) (dual of [234, 36, 111]-code), using strength reduction based on linear OA(4¹⁹⁸, 234, F₄, 111) (dual of [234, 36, 112]-code), using

concatenation of two codes [i] based on
1. linear OA(64²⁷, 39, F₆₄, 27) (dual of [39, 12, 28]-code or 39-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.

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(4¹⁹⁷, 233, F₄, 109) (dual of [233, 36, 110]-code)	[i]	Truncation
2	Linear OA(4¹⁹⁶, 232, F₄, 108) (dual of [232, 36, 109]-code)	[i]	Truncation
3	Linear OOA(4¹⁹⁸, 117, F₄, 2, 110) (dual of [(117, 2), 36, 111]-NRT-code)	[i]	OOA Folding
4	Linear OOA(4¹⁹⁸, 78, F₄, 3, 110) (dual of [(78, 3), 36, 111]-NRT-code)	[i]	OOA Folding