MinT - Information on Result #2235100

Information on Result #2235100

Linear OA(3²⁴¹, 509, F₃, 66) (dual of [509, 268, 67]-code), using 1 times truncation based on linear OA(3²⁴², 510, F₃, 67) (dual of [510, 268, 68]-code), using

concatenation of two codes [i] based on
1. linear OA(81³⁵, 102, F₈₁, 33) (dual of [102, 67, 34]-code), using
  - discarding factors / shortening the dual code based on linear OA(81³⁵, 115, F₈₁, 33) (dual of [115, 80, 34]-code), using
    - algebraic-geometric code AG(F,81P) [i] based on function field F/F₈₁ with g(F) = 2 and N(F) ≥ 116, 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(3²⁴¹, 254, F₃, 2, 66) (dual of [(254, 2), 267, 67]-NRT-code)	[i]		OOA Folding
2	Linear OOA(3²⁴¹, 169, F₃, 3, 66) (dual of [(169, 3), 266, 67]-NRT-code)	[i]		OOA Folding