MinT - Information on Result #2234679

Information on Result #2234679

Linear OA(3²⁴⁵, 311, F₃, 98) (dual of [311, 66, 99]-code), using 1 times truncation based on linear OA(3²⁴⁶, 312, F₃, 99) (dual of [312, 66, 100]-code), using

concatenation of two codes [i] based on
1. linear OA(27⁵⁶, 78, F₂₇, 49) (dual of [78, 22, 50]-code), using
  - discarding factors / shortening the dual code based on linear OA(27⁵⁶, 81, F₂₇, 49) (dual of [81, 25, 50]-code), using
    - algebraic-geometric code AG(F,31P) [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(3²⁴⁵, 155, F₃, 2, 98) (dual of [(155, 2), 65, 99]-NRT-code)	[i]		OOA Folding
2	Linear OOA(3²⁴⁵, 103, F₃, 3, 98) (dual of [(103, 3), 64, 99]-NRT-code)	[i]		OOA Folding