MinT - Information on Result #2226375

Information on Result #2226375

Linear OA(2²²⁰, 324, F₂, 66) (dual of [324, 104, 67]-code), using 1 times truncation based on linear OA(2²²¹, 325, F₂, 67) (dual of [325, 104, 68]-code), using

concatenation of two codes [i] based on
1. linear OA(16³⁹, 65, F₁₆, 33) (dual of [65, 26, 34]-code), using
  - extended algebraic-geometric code AG_e(F,31P) [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(2²²², 326, F₂, 66) (dual of [326, 104, 67]-code)	[i]	Code Embedding in Larger Space
2	Linear OA(2²²³, 327, F₂, 66) (dual of [327, 104, 67]-code)	[i]
3	Linear OA(2²²⁴, 328, F₂, 66) (dual of [328, 104, 67]-code)	[i]
4	Linear OA(2²²⁵, 329, F₂, 66) (dual of [329, 104, 67]-code)	[i]
5	Linear OOA(2²²⁰, 162, F₂, 2, 66) (dual of [(162, 2), 104, 67]-NRT-code)	[i]	OOA Folding
6	Linear OOA(2²²⁰, 108, F₂, 3, 66) (dual of [(108, 3), 104, 67]-NRT-code)	[i]	OOA Folding