MinT - Information on Result #2241886

Information on Result #2241886

Linear OA(4²²⁹, 256, F₄, 137) (dual of [256, 27, 138]-code), using 2 times truncation based on linear OA(4²³¹, 258, F₄, 139) (dual of [258, 27, 140]-code), using

concatenation of two codes [i] based on
1. linear OA(64³⁴, 43, F₆₄, 34) (dual of [43, 9, 35]-code or 43-arc in PG(33,64)), using
  - discarding factors / shortening the dual code based on linear OA(64³⁴, 64, F₆₄, 34) (dual of [64, 30, 35]-code or 64-arc in PG(33,64)), using
    - Reedâ€“Solomon code RS(30,64) [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		This result only	Method
1	Linear OOA(4²²⁹, 128, F₄, 2, 137) (dual of [(128, 2), 27, 138]-NRT-code)	[i]		OOA Folding
2	Linear OOA(4²²⁹, 85, F₄, 3, 137) (dual of [(85, 3), 26, 138]-NRT-code)	[i]		OOA Folding