MinT - Information on Result #2235111

Information on Result #2235111

Linear OA(3²⁴³, 519, F₃, 66) (dual of [519, 276, 67]-code), using 1 times truncation based on linear OA(3²⁴⁴, 520, F₃, 67) (dual of [520, 276, 68]-code), using

concatenation of two codes [i] based on
1. linear OA(81³⁵, 104, F₈₁, 33) (dual of [104, 69, 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(3²⁴³, 259, F₃, 2, 66) (dual of [(259, 2), 275, 67]-NRT-code)	[i]		OOA Folding
2	Linear OOA(3²⁴³, 173, F₃, 3, 66) (dual of [(173, 3), 276, 67]-NRT-code)	[i]		OOA Folding