MinT - Information on Result #2242993

Information on Result #2242993

Linear OA(4²⁰⁹, 278, F₄, 99) (dual of [278, 69, 100]-code), using 2 times truncation based on linear OA(4²¹¹, 280, F₄, 101) (dual of [280, 69, 102]-code), using

concatenation of two codes [i] based on
1. linear OA(64³³, 56, F₆₄, 33) (dual of [56, 23, 34]-code or 56-arc in PG(32,64)), using
  - discarding factors / shortening the dual code based on linear OA(64³³, 64, F₆₄, 33) (dual of [64, 31, 34]-code or 64-arc in PG(32,64)), using
    - Reedâ€“Solomon code RS(31,64) [i]
2. linear OA(4², 5, F₄, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,4)), using
  - extended Reedâ€“Solomon code RS_e(3,4) [i]
  - Hamming code H(2,4) [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(4²⁰⁹, 139, F₄, 2, 99) (dual of [(139, 2), 69, 100]-NRT-code)	[i]		OOA Folding
2	Linear OOA(4²⁰⁹, 92, F₄, 3, 99) (dual of [(92, 3), 67, 100]-NRT-code)	[i]		OOA Folding