MinT - Information on Result #636996

Information on Result #636996

Linear OA(4²²⁴, 305, F₄, 104) (dual of [305, 81, 105]-code), using concatenation of two codes based on

linear OA(64³⁴, 61, F₆₄, 34) (dual of [61, 27, 35]-code or 61-arc in PG(33,64)), using
- discarding factors / shortening the dual code based on linear OA(64³⁴, 64, F₆₄, 34) (dual of [64, 30, 35]-code or 64-arc in PG(33,64)), using
  - Reedâ€“Solomon code RS(30,64) [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(4²²⁴, 305, F₄, 103) (dual of [305, 81, 104]-code)	[i]		Strength Reduction
2	Linear OA(4²²⁵, 306, F₄, 104) (dual of [306, 81, 105]-code)	[i]		Code Embedding in Larger Space
3	Linear OA(4²²³, 304, F₄, 103) (dual of [304, 81, 104]-code)	[i]		Truncation
4	Linear OA(4²²², 303, F₄, 102) (dual of [303, 81, 103]-code)	[i]		Truncation
5	Linear OOA(4²²⁴, 152, F₄, 2, 104) (dual of [(152, 2), 80, 105]-NRT-code)	[i]		OOA Folding
6	Linear OOA(4²²⁴, 101, F₄, 3, 104) (dual of [(101, 3), 79, 105]-NRT-code)	[i]		OOA Folding