MinT - Information on Result #2217085

Information on Result #2217085

Linear OA(16⁹⁷, 130, F₁₆, 58) (dual of [130, 33, 59]-code), using strength reduction based on linear OA(16⁹⁷, 130, F₁₆, 59) (dual of [130, 33, 60]-code), using

(u,Â u+v)-construction [i] based on
1. linear OA(16³⁵, 65, F₁₆, 29) (dual of [65, 30, 30]-code), using
  - extended algebraic-geometric code AG_e(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(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(16⁹⁷, 65, F₁₆, 2, 58) (dual of [(65, 2), 33, 59]-NRT-code)	[i]		OOA Folding