MinT - Information on Result #2234633

Information on Result #2234633

Linear OA(3¹⁹⁸, 434, F₃, 54) (dual of [434, 236, 55]-code), using 1 times truncation based on linear OA(3¹⁹⁹, 435, F₃, 55) (dual of [435, 236, 56]-code), using

concatenation of two codes [i] based on
1. linear OA(81²⁸, 87, F₈₁, 27) (dual of [87, 59, 28]-code), using
  - discarding factors / shortening the dual code based on linear OA(81²⁸, 100, F₈₁, 27) (dual of [100, 72, 28]-code), using
    - extended algebraic-geometric code AG_e(F,72P) [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(3¹⁹⁸, 217, F₃, 2, 54) (dual of [(217, 2), 236, 55]-NRT-code)	[i]		OOA Folding