MinT - Information on Result #2242716

Information on Result #2242716

Linear OA(4²¹⁴, 268, F₄, 109) (dual of [268, 54, 110]-code), using 2 times truncation based on linear OA(4²¹⁶, 270, F₄, 111) (dual of [270, 54, 112]-code), using

concatenation of two codes [i] based on
1. linear OA(64²⁷, 45, F₆₄, 27) (dual of [45, 18, 28]-code or 45-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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(4²¹⁴, 134, F₄, 2, 109) (dual of [(134, 2), 54, 110]-NRT-code)	[i]		OOA Folding
2	Linear OOA(4²¹⁴, 89, F₄, 3, 109) (dual of [(89, 3), 53, 110]-NRT-code)	[i]		OOA Folding