MinT - Information on Result #2228700

Information on Result #2228700

Linear OA(3⁸⁰, 119, F₃, 32) (dual of [119, 39, 33]-code), using 1 times truncation based on linear OA(3⁸¹, 120, F₃, 33) (dual of [120, 39, 34]-code), using

concatenation of two codes [i] based on
1. linear OA(27¹⁷, 30, F₂₇, 16) (dual of [30, 13, 17]-code), using
  - discarding factors / shortening the dual code based on linear OA(27¹⁷, 38, F₂₇, 16) (dual of [38, 21, 17]-code), using
    - extended algebraic-geometric code AG_e(F,21P) [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, 59, F₃, 2, 32) (dual of [(59, 2), 38, 33]-NRT-code)	[i]		OOA Folding