MinT - Information on Result #2234550

Information on Result #2234550

Linear OA(3²²⁷, 311, F₃, 86) (dual of [311, 84, 87]-code), using 1 times truncation based on linear OA(3²²⁸, 312, F₃, 87) (dual of [312, 84, 88]-code), using

concatenation of two codes [i] based on
1. linear OA(27⁵⁰, 78, F₂₇, 43) (dual of [78, 28, 44]-code), using
  - discarding factors / shortening the dual code based on linear OA(27⁵⁰, 81, F₂₇, 43) (dual of [81, 31, 44]-code), using
    - algebraic-geometric code AG(F,37P) [i] based on function field F/F₂₇ with g(F) = 7 and N(F) ≥ 82, 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(3²²⁷, 155, F₃, 2, 86) (dual of [(155, 2), 83, 87]-NRT-code)	[i]		OOA Folding
2	Linear OOA(3²²⁷, 103, F₃, 3, 86) (dual of [(103, 3), 82, 87]-NRT-code)	[i]		OOA Folding