MinT - Information on Result #2233523

Information on Result #2233523

Linear OA(3¹⁹⁰, 247, F₃, 78) (dual of [247, 57, 79]-code), using 1 times truncation based on linear OA(3¹⁹¹, 248, F₃, 79) (dual of [248, 57, 80]-code), using

concatenation of two codes [i] based on
1. linear OA(27⁴³, 62, F₂₇, 39) (dual of [62, 19, 40]-code), using
  - discarding factors / shortening the dual code based on linear OA(27⁴³, 64, F₂₇, 39) (dual of [64, 21, 40]-code), using
    - extended algebraic-geometric code AG_e(F,24P) [i] based on function field F/F₂₇ with g(F) = 4 and N(F) ≥ 64, 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(3¹⁹⁰, 123, F₃, 2, 78) (dual of [(123, 2), 56, 79]-NRT-code)	[i]		OOA Folding
2	Linear OOA(3¹⁹⁰, 82, F₃, 3, 78) (dual of [(82, 3), 56, 79]-NRT-code)	[i]		OOA Folding