MinT - Information on Result #2243027

Information on Result #2243027

Linear OA(4²⁴⁷, 292, F₄, 136) (dual of [292, 45, 137]-code), using 2 times truncation based on linear OA(4²⁴⁹, 294, F₄, 138) (dual of [294, 45, 139]-code), using

strength reduction [i] based on linear OA(4²⁴⁹, 294, F₄, 139) (dual of [294, 45, 140]-code), using
- concatenation of two codes [i] based on
  1. linear OA(64³⁴, 49, F₆₄, 34) (dual of [49, 15, 35]-code or 49-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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(4²⁴⁷, 146, F₄, 2, 136) (dual of [(146, 2), 45, 137]-NRT-code)	[i]		OOA Folding