MinT - Information on Result #2234664

Information on Result #2234664

Linear OA(3²³⁴, 327, F₃, 88) (dual of [327, 93, 89]-code), using 1 times truncation based on linear OA(3²³⁵, 328, F₃, 89) (dual of [328, 93, 90]-code), using

concatenation of two codes [i] based on
1. linear OA(27⁵¹, 82, F₂₇, 44) (dual of [82, 31, 45]-code), using
  - extended algebraic-geometric code AG_e(F,37P) [i] based on function field F/F₂₇ with g(F) = 7 and N(F) ≥ 82, 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		Method
1	Linear OA(3²³⁶, 329, F₃, 88) (dual of [329, 93, 89]-code)	[i]	Code Embedding in Larger Space
2	Linear OA(3²³⁷, 330, F₃, 88) (dual of [330, 93, 89]-code)	[i]
3	Linear OA(3²³⁸, 331, F₃, 88) (dual of [331, 93, 89]-code)	[i]
4	Linear OOA(3²³⁴, 163, F₃, 2, 88) (dual of [(163, 2), 92, 89]-NRT-code)	[i]	OOA Folding
5	Linear OOA(3²³⁴, 109, F₃, 3, 88) (dual of [(109, 3), 93, 89]-NRT-code)	[i]	OOA Folding