MinT - Information on Result #2260069

Information on Result #2260069

Linear OA(2⁸⁹, 105, F₂, 38) (dual of [105, 16, 39]-code), using 2 times code embedding in larger space based on linear OA(2⁸⁷, 103, F₂, 38) (dual of [103, 16, 39]-code), using

1 times truncation [i] based on linear OA(2⁸⁸, 104, F₂, 39) (dual of [104, 16, 40]-code), using
- concatenation of two codes [i] based on
  1. linear OA(16⁹, 13, F₁₆, 9) (dual of [13, 4, 10]-code or 13-arc in PG(8,16)), using
    - discarding factors / shortening the dual code based on linear OA(16⁹, 16, F₁₆, 9) (dual of [16, 7, 10]-code or 16-arc in PG(8,16)), using
      - Reedâ€“Solomon code RS(7,16) [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 OOA(2⁸⁹, 35, F₂, 3, 38) (dual of [(35, 3), 16, 39]-NRT-code)	[i]		OOA Folding