MinT - Information on Result #2234661

Information on Result #2234661

Linear OA(3²⁴⁰, 315, F₃, 94) (dual of [315, 75, 95]-code), using 1 times truncation based on linear OA(3²⁴¹, 316, F₃, 95) (dual of [316, 75, 96]-code), using

concatenation of two codes [i] based on
1. linear OA(27⁵⁴, 79, F₂₇, 47) (dual of [79, 25, 48]-code), using
  - discarding factors / shortening the dual code based on linear OA(27⁵⁴, 81, F₂₇, 47) (dual of [81, 27, 48]-code), using
    - algebraic-geometric code AG(F,33P) [i] based on function field F/F₂₇ with g(F) = 7 and N(F) ≥ 82, using
      - a function field by SÃ©mirat [i]
2. linear OA(3¹, 4, F₃, 1) (dual of [4, 3, 2]-code), using
  - discarding factors / shortening the dual code based on linear OA(3¹, s, F₃, 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(3²⁴⁰, 157, F₃, 2, 94) (dual of [(157, 2), 74, 95]-NRT-code)	[i]		OOA Folding
2	Linear OOA(3²⁴⁰, 105, F₃, 3, 94) (dual of [(105, 3), 75, 95]-NRT-code)	[i]		OOA Folding