MinT - Information on Result #2287212

Information on Result #2287212

Linear OA(16¹⁰⁴, 132, F₁₆, 65) (dual of [132, 28, 66]-code), using 1 times code embedding in larger space based on linear OA(16¹⁰³, 131, F₁₆, 65) (dual of [131, 28, 66]-code), using

(u,Â u+v)-construction [i] based on
1. linear OA(16³⁸, 65, F₁₆, 32) (dual of [65, 27, 33]-code), using
  - extended algebraic-geometric code AG_e(F,32P) [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(16⁶⁵, 66, F₁₆, 65) (dual of [66, 1, 66]-code or 66-arc in PG(64,16)), using
  - dual of repetition code with length 66 [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(16¹⁰⁴, 66, F₁₆, 2, 65) (dual of [(66, 2), 28, 66]-NRT-code)	[i]		OOA Folding