MinT - Information on Result #1413710

Information on Result #1413710

Linear OOA(3¹⁸⁵, 5054, F₃, 2, 32) (dual of [(5054, 2), 9923, 33]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OA(3¹⁸⁵, 5054, F₃, 32) (dual of [5054, 4869, 33]-code), using

discarding factors / shortening the dual code based on linear OA(3¹⁸⁵, 6578, F₃, 32) (dual of [6578, 6393, 33]-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OA(3¹⁶, 17, F₃, 16) (dual of [17, 1, 17]-code or 17-arc in PG(15,3)), using
    - dual of repetition code with length 17 [i]
  2. linear OA(3¹⁶⁹, 6561, F₃, 32) (dual of [6561, 6392, 33]-code), using
    - an extension C_e(31) of the primitive narrow-sense BCH-code C(I) with length 6560Â = 3⁸âˆ’1, defining interval IÂ =Â [1,31], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 32 [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(3¹⁸⁵, 2527, F₃, 3, 32) (dual of [(2527, 3), 7396, 33]-NRT-code)	[i]		OOA Folding
2	Linear OOA(3¹⁸⁵, 2527, F₃, 4, 32) (dual of [(2527, 4), 9923, 33]-NRT-code)	[i]		OOA Folding