MinT - Information on Result #2234370

Information on Result #2234370

Linear OA(3²²⁰, 295, F₃, 86) (dual of [295, 75, 87]-code), using 1 times truncation based on linear OA(3²²¹, 296, F₃, 87) (dual of [296, 75, 88]-code), using

concatenation of two codes [i] based on
1. linear OA(27⁴⁹, 74, F₂₇, 43) (dual of [74, 25, 44]-code), using
  - discarding factors / shortening the dual code based on linear OA(27⁴⁹, 75, F₂₇, 43) (dual of [75, 26, 44]-code), using
    - algebraic-geometric code AG(F,31P) [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		This result only	Method
1	Linear OOA(3²²⁰, 147, F₃, 2, 86) (dual of [(147, 2), 74, 87]-NRT-code)	[i]		OOA Folding
2	Linear OOA(3²²⁰, 98, F₃, 3, 86) (dual of [(98, 3), 74, 87]-NRT-code)	[i]		OOA Folding