MinT - Information on Result #2234946

Information on Result #2234946

Linear OA(3²³³, 429, F₃, 72) (dual of [429, 196, 73]-code), using 1 times truncation based on linear OA(3²³⁴, 430, F₃, 73) (dual of [430, 196, 74]-code), using

concatenation of two codes [i] based on
1. linear OA(81³⁷, 86, F₈₁, 36) (dual of [86, 49, 37]-code), using
  - discarding factors / shortening the dual code based on linear OA(81³⁷, 100, F₈₁, 36) (dual of [100, 63, 37]-code), using
    - extended algebraic-geometric code AG_e(F,63P) [i] based on function field F/F₈₁ with g(F) = 1 and N(F) ≥ 100, using
      - a function field by SÃ©mirat [i]
2. linear OA(3¹, 5, F₃, 1) (dual of [5, 4, 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(3²³³, 214, F₃, 2, 72) (dual of [(214, 2), 195, 73]-NRT-code)	[i]		OOA Folding
2	Linear OOA(3²³³, 143, F₃, 3, 72) (dual of [(143, 3), 196, 73]-NRT-code)	[i]		OOA Folding