MinT - Information on Result #2225496

Information on Result #2225496

Linear OA(2²²¹, 245, F₂, 92) (dual of [245, 24, 93]-code), using 3 times truncation based on linear OA(2²²⁴, 248, F₂, 95) (dual of [248, 24, 96]-code), using

concatenation of two codes [i] based on
1. linear OA(16²⁵, 31, F₁₆, 23) (dual of [31, 6, 24]-code), using
  - discarding factors / shortening the dual code based on linear OA(16²⁵, 33, F₁₆, 23) (dual of [33, 8, 24]-code), using
    - extended algebraic-geometric code AG_e(F,9P) [i] based on function field F/F₁₆ with g(F) = 2 and N(F) ≥ 33, using
      - a function field by SÃ©mirat [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(2²²¹, 122, F₂, 2, 92) (dual of [(122, 2), 23, 93]-NRT-code)	[i]		OOA Folding
2	Linear OOA(2²²¹, 81, F₂, 3, 92) (dual of [(81, 3), 22, 93]-NRT-code)	[i]		OOA Folding