MinT - Information on Result #2254952

Information on Result #2254952

Linear OA(16⁹³, 125, F₁₆, 56) (dual of [125, 32, 57]-code), using 1 times truncation based on linear OA(16⁹⁴, 126, F₁₆, 57) (dual of [126, 32, 58]-code), using

(u,Â u+v)-construction [i] based on
1. linear OA(16³⁴, 63, F₁₆, 28) (dual of [63, 29, 29]-code), using
  - discarding factors / shortening the dual code based on linear OA(16³⁴, 64, F₁₆, 28) (dual of [64, 30, 29]-code), using
    - algebraic-geometric code AG(F,35P) [i] based on function field F/F₁₆ with g(F) = 6 and N(F) ≥ 65, using
      - the Hermitian function field over F₁₆ [i]
2. linear OA(16⁶⁰, 63, F₁₆, 57) (dual of [63, 3, 58]-code), using
  - 2 times truncation [i] based on linear OA(16⁶², 65, F₁₆, 59) (dual of [65, 3, 60]-code), using
    - Hermitian unital [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(16⁹³, 62, F₁₆, 2, 56) (dual of [(62, 2), 31, 57]-NRT-code)	[i]		OOA Folding