MinT - Information on Result #2242643

Information on Result #2242643

Linear OA(4²²⁹, 274, F₄, 125) (dual of [274, 45, 126]-code), using 2 times truncation based on linear OA(4²³¹, 276, F₄, 127) (dual of [276, 45, 128]-code), using

concatenation of two codes [i] based on
1. linear OA(64³¹, 46, F₆₄, 31) (dual of [46, 15, 32]-code or 46-arc in PG(30,64)), using
  - discarding factors / shortening the dual code based on linear OA(64³¹, 64, F₆₄, 31) (dual of [64, 33, 32]-code or 64-arc in PG(30,64)), using
    - Reedâ€“Solomon code RS(33,64) [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		This result only	Method
1	Linear OOA(4²²⁹, 137, F₄, 2, 125) (dual of [(137, 2), 45, 126]-NRT-code)	[i]		OOA Folding
2	Linear OOA(4²²⁹, 91, F₄, 3, 125) (dual of [(91, 3), 44, 126]-NRT-code)	[i]		OOA Folding