MinT - Information on Result #2226077

Information on Result #2226077

Linear OA(2²⁰⁴, 304, F₂, 60) (dual of [304, 100, 61]-code), using 1 times truncation based on linear OA(2²⁰⁵, 305, F₂, 61) (dual of [305, 100, 62]-code), using

concatenation of two codes [i] based on
1. linear OA(16³⁶, 61, F₁₆, 30) (dual of [61, 25, 31]-code), using
  - discarding factors / shortening the dual code based on linear OA(16³⁶, 64, F₁₆, 30) (dual of [64, 28, 31]-code), using
    - algebraic-geometric code AG(F,33P) [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		This result only	Method
1	Linear OOA(2²⁰⁴, 152, F₂, 2, 60) (dual of [(152, 2), 100, 61]-NRT-code)	[i]		OOA Folding
2	Linear OOA(2²⁰⁴, 101, F₂, 3, 60) (dual of [(101, 3), 99, 61]-NRT-code)	[i]		OOA Folding