MinT - Information on Result #2234707

Information on Result #2234707

Linear OA(3²³⁰, 335, F₃, 82) (dual of [335, 105, 83]-code), using 1 times truncation based on linear OA(3²³¹, 336, F₃, 83) (dual of [336, 105, 84]-code), using

concatenation of two codes [i] based on
1. linear OA(27⁴⁹, 84, F₂₇, 41) (dual of [84, 35, 42]-code), using
  - extended algebraic-geometric code AG_e(F,42P) [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		This result only	Method
1	Linear OOA(3²³⁰, 167, F₃, 2, 82) (dual of [(167, 2), 104, 83]-NRT-code)	[i]		OOA Folding
2	Linear OOA(3²³⁰, 111, F₃, 3, 82) (dual of [(111, 3), 103, 83]-NRT-code)	[i]		OOA Folding