MinT - Information on Result #2234782

Information on Result #2234782

Linear OA(3²⁴², 335, F₃, 90) (dual of [335, 93, 91]-code), using 1 times truncation based on linear OA(3²⁴³, 336, F₃, 91) (dual of [336, 93, 92]-code), using

concatenation of two codes [i] based on
1. linear OA(27⁵³, 84, F₂₇, 45) (dual of [84, 31, 46]-code), using
  - extended algebraic-geometric code AG_e(F,38P) [i] based on function field F/F₂₇ with g(F) = 8 and N(F) ≥ 84, 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(3²⁴⁴, 337, F₃, 90) (dual of [337, 93, 91]-code)	[i]	Code Embedding in Larger Space
2	Linear OA(3²⁴⁵, 338, F₃, 90) (dual of [338, 93, 91]-code)	[i]
3	Linear OA(3²⁴⁶, 339, F₃, 90) (dual of [339, 93, 91]-code)	[i]
4	Linear OOA(3²⁴², 167, F₃, 2, 90) (dual of [(167, 2), 92, 91]-NRT-code)	[i]	OOA Folding
5	Linear OOA(3²⁴², 111, F₃, 3, 90) (dual of [(111, 3), 91, 91]-NRT-code)	[i]	OOA Folding