MinT - Information on Result #2228849

Information on Result #2228849

Linear OA(3⁸², 127, F₃, 32) (dual of [127, 45, 33]-code), using 1 times truncation based on linear OA(3⁸³, 128, F₃, 33) (dual of [128, 45, 34]-code), using

concatenation of two codes [i] based on
1. linear OA(27¹⁷, 32, F₂₇, 16) (dual of [32, 15, 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(3⁸², 63, F₃, 2, 32) (dual of [(63, 2), 44, 33]-NRT-code)	[i]		OOA Folding
2	Linear OOA(3⁸², 42, F₃, 3, 32) (dual of [(42, 3), 44, 33]-NRT-code)	[i]		OOA Folding