MinT - Information on Result #636847

Information on Result #636847

Linear OA(4¹⁹⁸, 285, F₄, 86) (dual of [285, 87, 87]-code), using concatenation of two codes based on

linear OA(64²⁸, 57, F₆₄, 28) (dual of [57, 29, 29]-code or 57-arc in PG(27,64)), using
- discarding factors / shortening the dual code based on linear OA(64²⁸, 64, F₆₄, 28) (dual of [64, 36, 29]-code or 64-arc in PG(27,64)), using
  - Reedâ€“Solomon code RS(36,64) [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(4¹⁹⁸, 285, F₄, 85) (dual of [285, 87, 86]-code)	[i]		Strength Reduction
2	Linear OA(4¹⁹⁹, 286, F₄, 86) (dual of [286, 87, 87]-code)	[i]		Code Embedding in Larger Space
3	Linear OA(4¹⁹⁷, 284, F₄, 85) (dual of [284, 87, 86]-code)	[i]		Truncation
4	Linear OA(4¹⁹⁶, 283, F₄, 84) (dual of [283, 87, 85]-code)	[i]		Truncation
5	Linear OOA(4¹⁹⁸, 142, F₄, 2, 86) (dual of [(142, 2), 86, 87]-NRT-code)	[i]		OOA Folding
6	Linear OOA(4¹⁹⁸, 95, F₄, 3, 86) (dual of [(95, 3), 87, 87]-NRT-code)	[i]		OOA Folding