MinT - Information on Result #1600979

Information on Result #1600979

Linear OOA(3¹⁷, 255, F₃, 4, 5) (dual of [(255, 4), 1003, 6]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OA(3¹⁷, 255, F₃, 5) (dual of [255, 238, 6]-code), using

(u,Â uâˆ’v,Â u+v+w)-construction [i] based on
1. linear OA(3¹, 85, F₃, 1) (dual of [85, 84, 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]
2. linear OA(3⁵, 85, F₃, 2) (dual of [85, 80, 3]-code), using
  - discarding factors / shortening the dual code based on linear OA(3⁵, 121, F₃, 2) (dual of [121, 116, 3]-code), using
    - Hamming code H(5,3) [i]
3. linear OA(3¹¹, 85, F₃, 5) (dual of [85, 74, 6]-code), using
  - codes constructed by inverting constructionÂ Y₁ [i]

Mode: 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(3¹⁷, 255, F₃, 5, 5) (dual of [(255, 5), 1258, 6]-NRT-code)	[i]		Appending kth Column