MinT - Information on Result #2198903

Information on Result #2198903

Linear OA(3²⁴⁰, 336, F₃, 88) (dual of [336, 96, 89]-code), using strength reduction based on linear OA(3²⁴⁰, 336, F₃, 89) (dual of [336, 96, 90]-code), using

concatenation of two codes [i] based on
1. linear OA(27⁵², 84, F₂₇, 44) (dual of [84, 32, 45]-code), using
  - extended algebraic-geometric code AG_e(F,39P) [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(3²⁴⁰, 168, F₃, 2, 88) (dual of [(168, 2), 96, 89]-NRT-code)	[i]		OOA Folding
2	Linear OOA(3²⁴⁰, 112, F₃, 3, 88) (dual of [(112, 3), 96, 89]-NRT-code)	[i]		OOA Folding