MinT - Information on Result #637002

Information on Result #637002

Linear OA(4²¹², 275, F₄, 104) (dual of [275, 63, 105]-code), using concatenation of two codes based on

linear OA(64³⁴, 55, F₆₄, 34) (dual of [55, 21, 35]-code or 55-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(4²¹², 275, F₄, 103) (dual of [275, 63, 104]-code)	[i]		Strength Reduction
2	Linear OA(4²¹³, 276, F₄, 104) (dual of [276, 63, 105]-code)	[i]		Code Embedding in Larger Space
3	Linear OA(4²¹¹, 274, F₄, 103) (dual of [274, 63, 104]-code)	[i]		Truncation
4	Linear OOA(4²¹², 137, F₄, 2, 104) (dual of [(137, 2), 62, 105]-NRT-code)	[i]		OOA Folding
5	Linear OOA(4²¹², 91, F₄, 3, 104) (dual of [(91, 3), 61, 105]-NRT-code)	[i]		OOA Folding