MinT - Information on Result #2275581

Information on Result #2275581

Linear OA(4²²⁵, 306, F₄, 104) (dual of [306, 81, 105]-code), using 1 times code embedding in larger space based on linear OA(4²²⁴, 305, F₄, 104) (dual of [305, 81, 105]-code), using

concatenation of two codes [i] based on
1. 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]
2. 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 OOA(4²²⁵, 153, F₄, 2, 104) (dual of [(153, 2), 81, 105]-NRT-code)	[i]		OOA Folding
2	Linear OOA(4²²⁵, 102, F₄, 3, 104) (dual of [(102, 3), 81, 105]-NRT-code)	[i]		OOA Folding