MinT - Information on Result #2242149

Information on Result #2242149

Linear OA(4²⁵⁴, 275, F₄, 158) (dual of [275, 21, 159]-code), using 1 times truncation based on linear OA(4²⁵⁵, 276, F₄, 159) (dual of [276, 21, 160]-code), using

concatenation of two codes [i] based on
1. linear OA(64³⁹, 46, F₆₄, 39) (dual of [46, 7, 40]-code or 46-arc in PG(38,64)), using
  - discarding factors / shortening the dual code based on linear OA(64³⁹, 64, F₆₄, 39) (dual of [64, 25, 40]-code or 64-arc in PG(38,64)), using
    - Reedâ€“Solomon code RS(25,64) [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(4²⁵⁶, 277, F₄, 158) (dual of [277, 21, 159]-code)	[i]	Code Embedding in Larger Space
2	Linear OOA(4²⁵⁴, 137, F₄, 2, 158) (dual of [(137, 2), 20, 159]-NRT-code)	[i]	OOA Folding
3	Linear OOA(4²⁵⁴, 91, F₄, 3, 158) (dual of [(91, 3), 19, 159]-NRT-code)	[i]	OOA Folding