MinT - Information on Result #636865

Information on Result #636865

Linear OA(4²⁰¹, 285, F₄, 89) (dual of [285, 84, 90]-code), using concatenation of two codes based on

linear OA(64²⁹, 57, F₆₄, 29) (dual of [57, 28, 30]-code or 57-arc in PG(28,64)), using
- discarding factors / shortening the dual code based on linear OA(64²⁹, 64, F₆₄, 29) (dual of [64, 35, 30]-code or 64-arc in PG(28,64)), using
  - Reedâ€“Solomon code RS(35,64) [i]
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 OA(4²⁰¹, 285, F₄, 88) (dual of [285, 84, 89]-code)	[i]		Strength Reduction
2	Linear OA(4²⁰², 286, F₄, 89) (dual of [286, 84, 90]-code)	[i]		Code Embedding in Larger Space
3	Linear OA(4²⁰⁰, 284, F₄, 88) (dual of [284, 84, 89]-code)	[i]		Truncation
4	Linear OA(4¹⁹⁹, 283, F₄, 87) (dual of [283, 84, 88]-code)	[i]		Truncation
5	Linear OOA(4²⁰¹, 142, F₄, 2, 89) (dual of [(142, 2), 83, 90]-NRT-code)	[i]		OOA Folding
6	Linear OOA(4²⁰¹, 95, F₄, 3, 89) (dual of [(95, 3), 84, 90]-NRT-code)	[i]		OOA Folding