MinT - Information on Result #2233708

Information on Result #2233708

Linear OA(3¹⁸⁶, 267, F₃, 70) (dual of [267, 81, 71]-code), using 1 times truncation based on linear OA(3¹⁸⁷, 268, F₃, 71) (dual of [268, 81, 72]-code), using

concatenation of two codes [i] based on
1. linear OA(27⁴⁰, 67, F₂₇, 35) (dual of [67, 27, 36]-code), using
  - discarding factors / shortening the dual code based on linear OA(27⁴⁰, 68, F₂₇, 35) (dual of [68, 28, 36]-code), using
    - extended algebraic-geometric code AG_e(F,32P) [i] based on function field F/F₂₇ with g(F) = 5 and N(F) ≥ 68, 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(3¹⁸⁶, 133, F₃, 2, 70) (dual of [(133, 2), 80, 71]-NRT-code)	[i]		OOA Folding
2	Linear OOA(3¹⁸⁶, 89, F₃, 3, 70) (dual of [(89, 3), 81, 71]-NRT-code)	[i]		OOA Folding