MinT - Information on Result #2233319

Information on Result #2233319

Linear OA(3¹⁷⁴, 255, F₃, 66) (dual of [255, 81, 67]-code), using 1 times truncation based on linear OA(3¹⁷⁵, 256, F₃, 67) (dual of [256, 81, 68]-code), using

concatenation of two codes [i] based on
1. linear OA(27³⁷, 64, F₂₇, 33) (dual of [64, 27, 34]-code), using
  - extended algebraic-geometric code AG_e(F,30P) [i] based on function field F/F₂₇ with g(F) = 4 and N(F) ≥ 64, 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		Method
1	Linear OA(3¹⁷⁶, 257, F₃, 66) (dual of [257, 81, 67]-code)	[i]	Code Embedding in Larger Space
2	Linear OA(3¹⁷⁷, 258, F₃, 66) (dual of [258, 81, 67]-code)	[i]	Code Embedding in Larger Space
3	Linear OOA(3¹⁷⁴, 127, F₃, 2, 66) (dual of [(127, 2), 80, 67]-NRT-code)	[i]	OOA Folding
4	Linear OOA(3¹⁷⁴, 85, F₃, 3, 66) (dual of [(85, 3), 81, 67]-NRT-code)	[i]	OOA Folding