MinT - Information on Result #2234831

Information on Result #2234831

Linear OA(3²¹⁰, 474, F₃, 56) (dual of [474, 264, 57]-code), using 1 times truncation based on linear OA(3²¹¹, 475, F₃, 57) (dual of [475, 264, 58]-code), using

concatenation of two codes [i] based on
1. linear OA(81²⁹, 95, F₈₁, 28) (dual of [95, 66, 29]-code), using
  - discarding factors / shortening the dual code based on linear OA(81²⁹, 100, F₈₁, 28) (dual of [100, 71, 29]-code), using
    - extended algebraic-geometric code AG_e(F,71P) [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(3²¹⁰, 237, F₃, 2, 56) (dual of [(237, 2), 264, 57]-NRT-code)	[i]		OOA Folding
2	Linear OOA(3²¹⁰, 158, F₃, 3, 56) (dual of [(158, 3), 264, 57]-NRT-code)	[i]		OOA Folding