MinT - Information on Result #2234404

Information on Result #2234404

Linear OA(3²¹⁹, 303, F₃, 84) (dual of [303, 84, 85]-code), using 1 times truncation based on linear OA(3²²⁰, 304, F₃, 85) (dual of [304, 84, 86]-code), using

concatenation of two codes [i] based on
1. linear OA(27⁴⁸, 76, F₂₇, 42) (dual of [76, 28, 43]-code), using
  - extended algebraic-geometric code AG_e(F,33P) [i] based on function field F/F₂₇ with g(F) = 6 and N(F) ≥ 76, 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(3²²¹, 305, F₃, 84) (dual of [305, 84, 85]-code)	[i]	Code Embedding in Larger Space
2	Linear OA(3²²², 306, F₃, 84) (dual of [306, 84, 85]-code)	[i]
3	Linear OA(3²²³, 307, F₃, 84) (dual of [307, 84, 85]-code)	[i]
4	Linear OOA(3²¹⁹, 151, F₃, 2, 84) (dual of [(151, 2), 83, 85]-NRT-code)	[i]	OOA Folding
5	Linear OOA(3²¹⁹, 101, F₃, 3, 84) (dual of [(101, 3), 84, 85]-NRT-code)	[i]	OOA Folding