MinT - Information on Result #2234872

Information on Result #2234872

Linear OA(3²⁴⁷, 343, F₃, 90) (dual of [343, 96, 91]-code), using 1 times truncation based on linear OA(3²⁴⁸, 344, F₃, 91) (dual of [344, 96, 92]-code), using

concatenation of two codes [i] based on
1. linear OA(27⁵⁴, 86, F₂₇, 45) (dual of [86, 32, 46]-code), using
  - discarding factors / shortening the dual code based on linear OA(27⁵⁴, 87, F₂₇, 45) (dual of [87, 33, 46]-code), using
    - algebraic-geometric code AG(F,41P) [i] based on function field F/F₂₇ with g(F) = 9 and N(F) ≥ 88, using
      - a function field by SÃ©mirat [i]
2. linear OA(3¹, 4, F₃, 1) (dual of [4, 3, 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(3²⁴⁷, 171, F₃, 2, 90) (dual of [(171, 2), 95, 91]-NRT-code)	[i]		OOA Folding
2	Linear OOA(3²⁴⁷, 114, F₃, 3, 90) (dual of [(114, 3), 95, 91]-NRT-code)	[i]		OOA Folding