MinT - Information on Result #2231635

Information on Result #2231635

Linear OA(3¹²⁹, 207, F₃, 46) (dual of [207, 78, 47]-code), using 1 times truncation based on linear OA(3¹³⁰, 208, F₃, 47) (dual of [208, 78, 48]-code), using

concatenation of two codes [i] based on
1. linear OA(27²⁶, 52, F₂₇, 23) (dual of [52, 26, 24]-code), using
  - extended algebraic-geometric code AG_e(F,28P) [i] based on function field F/F₂₇ with g(F) = 3 and N(F) ≥ 52, 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		Method
1	Linear OA(3¹³¹, 209, F₃, 46) (dual of [209, 78, 47]-code)	[i]	Code Embedding in Larger Space
2	Linear OA(3¹³², 210, F₃, 46) (dual of [210, 78, 47]-code)	[i]
3	Linear OA(3¹³³, 211, F₃, 46) (dual of [211, 78, 47]-code)	[i]
4	Linear OOA(3¹²⁹, 103, F₃, 2, 46) (dual of [(103, 2), 77, 47]-NRT-code)	[i]	OOA Folding