MinT - Information on Result #2220372

Information on Result #2220372

Linear OA(2⁷¹, 99, F₂, 24) (dual of [99, 28, 25]-code), using 1 times truncation based on linear OA(2⁷², 100, F₂, 25) (dual of [100, 28, 26]-code), using

concatenation of two codes [i] based on
1. linear OA(16¹³, 20, F₁₆, 12) (dual of [20, 7, 13]-code), using
  - discarding factors / shortening the dual code based on linear OA(16¹³, 24, F₁₆, 12) (dual of [24, 11, 13]-code), using
    - extended algebraic-geometric code AG_e(F,11P) [i] based on function field F/F₁₆ with g(F) = 1 and N(F) ≥ 24, using
      - a function field by SÃ©mirat [i]
2. linear OA(2¹, 5, F₂, 1) (dual of [5, 4, 2]-code), using
  - discarding factors / shortening the dual code based on linear OA(2¹, s, F₂, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
    - parity-check code [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(2⁷¹, 33, F₂, 3, 24) (dual of [(33, 3), 28, 25]-NRT-code)	[i]		OOA Folding