MinT - Information on Result #2229695

Information on Result #2229695

Linear OA(3¹⁰⁴, 143, F₃, 44) (dual of [143, 39, 45]-code), using 1 times truncation based on linear OA(3¹⁰⁵, 144, F₃, 45) (dual of [144, 39, 46]-code), using

concatenation of two codes [i] based on
1. linear OA(27²³, 36, F₂₇, 22) (dual of [36, 13, 23]-code), using
  - discarding factors / shortening the dual code based on linear OA(27²³, 38, F₂₇, 22) (dual of [38, 15, 23]-code), using
    - extended algebraic-geometric code AG_e(F,15P) [i] based on function field F/F₂₇ with g(F) = 1 and N(F) ≥ 38, 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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(3¹⁰⁴, 71, F₃, 2, 44) (dual of [(71, 2), 38, 45]-NRT-code)	[i]		OOA Folding
2	Linear OOA(3¹⁰⁴, 47, F₃, 3, 44) (dual of [(47, 3), 37, 45]-NRT-code)	[i]		OOA Folding