MinT - Information on Result #2208548

Information on Result #2208548

Linear OA(4²⁵⁵, 300, F₄, 141) (dual of [300, 45, 142]-code), using strength reduction based on linear OA(4²⁵⁵, 300, F₄, 143) (dual of [300, 45, 144]-code), using

concatenation of two codes [i] based on
1. linear OA(64³⁵, 50, F₆₄, 35) (dual of [50, 15, 36]-code or 50-arc in PG(34,64)), using
  - discarding factors / shortening the dual code based on linear OA(64³⁵, 64, F₆₄, 35) (dual of [64, 29, 36]-code or 64-arc in PG(34,64)), using
    - Reedâ€“Solomon code RS(29,64) [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 OA(4²⁵⁴, 299, F₄, 140) (dual of [299, 45, 141]-code)	[i]		Truncation
2	Linear OOA(4²⁵⁵, 100, F₄, 3, 141) (dual of [(100, 3), 45, 142]-NRT-code)	[i]		OOA Folding