MinT - Information on Result #1410347

Information on Result #1410347

Linear OOA(3¹³³, 2041, F₃, 2, 26) (dual of [(2041, 2), 3949, 27]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OA(3¹³³, 2041, F₃, 26) (dual of [2041, 1908, 27]-code), using

discarding factors / shortening the dual code based on linear OA(3¹³³, 2201, F₃, 26) (dual of [2201, 2068, 27]-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OA(3¹³, 14, F₃, 13) (dual of [14, 1, 14]-code or 14-arc in PG(12,3)), using
    - dual of repetition code with length 14 [i]
  2. linear OA(3¹²⁰, 2187, F₃, 26) (dual of [2187, 2067, 27]-code), using
    - an extension C_e(25) of the primitive narrow-sense BCH-code C(I) with length 2186Â = 3⁷âˆ’1, defining interval IÂ =Â [1,25], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 26 [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(3¹³³, 1020, F₃, 3, 26) (dual of [(1020, 3), 2927, 27]-NRT-code)	[i]		OOA Folding
2	Linear OOA(3¹³³, 1020, F₃, 4, 26) (dual of [(1020, 4), 3947, 27]-NRT-code)	[i]		OOA Folding