MinT - Information on Result #637144

Information on Result #637144

Linear OA(4²⁴⁶, 315, F₄, 122) (dual of [315, 69, 123]-code), using concatenation of two codes based on

linear OA(64⁴⁰, 63, F₆₄, 40) (dual of [63, 23, 41]-code or 63-arc in PG(39,64)), using
- discarding factors / shortening the dual code based on linear OA(64⁴⁰, 64, F₆₄, 40) (dual of [64, 24, 41]-code or 64-arc in PG(39,64)), using
  - Reedâ€“Solomon code RS(24,64) [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(4²⁴⁶, 315, F₄, 121) (dual of [315, 69, 122]-code)	[i]		Strength Reduction
2	Linear OA(4²⁴⁷, 316, F₄, 122) (dual of [316, 69, 123]-code)	[i]		Code Embedding in Larger Space
3	Linear OA(4²⁴⁵, 314, F₄, 121) (dual of [314, 69, 122]-code)	[i]		Truncation
4	Linear OA(4²⁴⁴, 313, F₄, 120) (dual of [313, 69, 121]-code)	[i]		Truncation
5	Linear OOA(4²⁴⁶, 157, F₄, 2, 122) (dual of [(157, 2), 68, 123]-NRT-code)	[i]		OOA Folding
6	Linear OOA(4²⁴⁶, 105, F₄, 3, 122) (dual of [(105, 3), 69, 123]-NRT-code)	[i]		OOA Folding