MinT - Information on Result #2228850

Information on Result #2228850

Linear OA(3⁸⁰, 131, F₃, 30) (dual of [131, 51, 31]-code), using 1 times truncation based on linear OA(3⁸¹, 132, F₃, 31) (dual of [132, 51, 32]-code), using

concatenation of two codes [i] based on
1. linear OA(27¹⁶, 33, F₂₇, 15) (dual of [33, 17, 16]-code), using
  - discarding factors / shortening the dual code based on linear OA(27¹⁶, 38, F₂₇, 15) (dual of [38, 22, 16]-code), using
    - extended algebraic-geometric code AG_e(F,22P) [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(3⁸⁰, 65, F₃, 2, 30) (dual of [(65, 2), 50, 31]-NRT-code)	[i]		OOA Folding
2	Linear OOA(3⁸⁰, 43, F₃, 3, 30) (dual of [(43, 3), 49, 31]-NRT-code)	[i]		OOA Folding