MinT - Information on Result #2217112

Information on Result #2217112

Linear OA(16⁹⁹, 110, F₁₆, 78) (dual of [110, 11, 79]-code), using strength reduction based on linear OA(16⁹⁹, 110, F₁₆, 79) (dual of [110, 11, 80]-code), using

juxtaposition [i] based on
1. linear OA(16³⁴, 45, F₁₆, 30) (dual of [45, 11, 31]-code), using
  - extended algebraic-geometric code AG_e(F,14P) [i] based on function field F/F₁₆ with g(F) = 4 and N(F) ≥ 45, using
    - a function field by GarcÃa and Quoos [i]
2. linear OA(16⁵⁴, 65, F₁₆, 48) (dual of [65, 11, 49]-code), using
  - extended algebraic-geometric code AG_e(F,16P) [i] based on function field F/F₁₆ with g(F) = 6 and N(F) ≥ 65, using
    - the Hermitian function field over F₁₆ [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(16⁹⁹, 55, F₁₆, 2, 78) (dual of [(55, 2), 11, 79]-NRT-code)	[i]		OOA Folding