MinT - Information on Result #2226467

Information on Result #2226467

Linear OA(2²²⁸, 324, F₂, 70) (dual of [324, 96, 71]-code), using 1 times truncation based on linear OA(2²²⁹, 325, F₂, 71) (dual of [325, 96, 72]-code), using

concatenation of two codes [i] based on
1. linear OA(16⁴¹, 65, F₁₆, 35) (dual of [65, 24, 36]-code), using
  - extended algebraic-geometric code AG_e(F,29P) [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(2¹, 5, F₂, 1) (dual of [5, 4, 2]-code), using
  - discarding factors / shortening the dual code based on linear OA(2¹, s, F₂, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
    - parity-check code [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		Method
1	Linear OA(2²³⁰, 326, F₂, 70) (dual of [326, 96, 71]-code)	[i]	Code Embedding in Larger Space
2	Linear OA(2²³¹, 327, F₂, 70) (dual of [327, 96, 71]-code)	[i]
3	Linear OA(2²³², 328, F₂, 70) (dual of [328, 96, 71]-code)	[i]
4	Linear OA(2²³³, 329, F₂, 70) (dual of [329, 96, 71]-code)	[i]
5	Linear OOA(2²²⁸, 162, F₂, 2, 70) (dual of [(162, 2), 96, 71]-NRT-code)	[i]	OOA Folding
6	Linear OOA(2²²⁸, 108, F₂, 3, 70) (dual of [(108, 3), 96, 71]-NRT-code)	[i]	OOA Folding