MinT - Information on Result #2235003

Information on Result #2235003

Linear OA(3²³¹, 479, F₃, 66) (dual of [479, 248, 67]-code), using 1 times truncation based on linear OA(3²³², 480, F₃, 67) (dual of [480, 248, 68]-code), using

concatenation of two codes [i] based on
1. linear OA(81³⁴, 96, F₈₁, 33) (dual of [96, 62, 34]-code), using
  - discarding factors / shortening the dual code based on linear OA(81³⁴, 100, F₈₁, 33) (dual of [100, 66, 34]-code), using
    - extended algebraic-geometric code AG_e(F,66P) [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(3²³¹, 239, F₃, 2, 66) (dual of [(239, 2), 247, 67]-NRT-code)	[i]		OOA Folding
2	Linear OOA(3²³¹, 159, F₃, 3, 66) (dual of [(159, 3), 246, 67]-NRT-code)	[i]		OOA Folding