MinT - Information on Result #2208281

Information on Result #2208281

Linear OA(4²⁵², 306, F₄, 134) (dual of [306, 54, 135]-code), using strength reduction based on linear OA(4²⁵², 306, F₄, 135) (dual of [306, 54, 136]-code), using

concatenation of two codes [i] based on
1. linear OA(64³³, 51, F₆₄, 33) (dual of [51, 18, 34]-code or 51-arc in PG(32,64)), using
  - discarding factors / shortening the dual code based on linear OA(64³³, 64, F₆₄, 33) (dual of [64, 31, 34]-code or 64-arc in PG(32,64)), using
    - Reedâ€“Solomon code RS(31,64) [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(4²⁵¹, 305, F₄, 133) (dual of [305, 54, 134]-code)	[i]	Truncation
2	Linear OA(4²⁵⁰, 304, F₄, 132) (dual of [304, 54, 133]-code)	[i]	Truncation
3	Linear OOA(4²⁵², 153, F₄, 2, 134) (dual of [(153, 2), 54, 135]-NRT-code)	[i]	OOA Folding
4	Linear OOA(4²⁵², 102, F₄, 3, 134) (dual of [(102, 3), 54, 135]-NRT-code)	[i]	OOA Folding