MinT - Information on Result #2220463

Information on Result #2220463

Linear OA(2⁸³, 103, F₂, 34) (dual of [103, 20, 35]-code), using 1 times truncation based on linear OA(2⁸⁴, 104, F₂, 35) (dual of [104, 20, 36]-code), using

concatenation of two codes [i] based on
1. linear OA(16⁸, 13, F₁₆, 8) (dual of [13, 5, 9]-code or 13-arc in PG(7,16)), using
  - discarding factors / shortening the dual code based on linear OA(16⁸, 16, F₁₆, 8) (dual of [16, 8, 9]-code or 16-arc in PG(7,16)), using
    - Reedâ€“Solomon code RS(8,16) [i]
2. linear OA(2⁴, 8, F₂, 3) (dual of [8, 4, 4]-code or 8-cap in PG(3,2)), using
  - Reedâ€“Muller code RM(1,3) [i]
  - caps in base bÂ =Â 2 [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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Linear OA(2⁸⁵, 105, F₂, 34) (dual of [105, 20, 35]-code)	[i]		Code Embedding in Larger Space
2	Linear OA(2⁸⁶, 106, F₂, 34) (dual of [106, 20, 35]-code)	[i]		Code Embedding in Larger Space
3	Linear OOA(2⁸³, 51, F₂, 2, 34) (dual of [(51, 2), 19, 35]-NRT-code)	[i]		OOA Folding
4	Linear OOA(2⁸³, 34, F₂, 3, 34) (dual of [(34, 3), 19, 35]-NRT-code)	[i]		OOA Folding