MinT - Information on Result #2217135

Information on Result #2217135

Linear OA(16¹⁰², 110, F₁₆, 84) (dual of [110, 8, 85]-code), using strength reduction based on linear OA(16¹⁰², 110, F₁₆, 85) (dual of [110, 8, 86]-code), using

juxtaposition [i] based on
1. linear OA(16³⁷, 45, F₁₆, 33) (dual of [45, 8, 34]-code), using
  - extended algebraic-geometric code AG_e(F,11P) [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(16⁵⁷, 65, F₁₆, 51) (dual of [65, 8, 52]-code), using
  - extended algebraic-geometric code AG_e(F,13P) [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(16¹⁰², 55, F₁₆, 2, 84) (dual of [(55, 2), 8, 85]-NRT-code)	[i]		OOA Folding