MinT - Information on Result #1407887

Information on Result #1407887

Linear OOA(3⁷¹, 1594, F₃, 2, 14) (dual of [(1594, 2), 3117, 15]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OA(3⁷¹, 1594, F₃, 14) (dual of [1594, 1523, 15]-code), using

discarding factors / shortening the dual code based on linear OA(3⁷¹, 2195, F₃, 14) (dual of [2195, 2124, 15]-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OA(3⁷, 8, F₃, 7) (dual of [8, 1, 8]-code or 8-arc in PG(6,3)), using
    - dual of repetition code with length 8 [i]
  2. linear OA(3⁶⁴, 2187, F₃, 14) (dual of [2187, 2123, 15]-code), using
    - an extension C_e(13) of the primitive narrow-sense BCH-code C(I) with length 2186Â = 3⁷âˆ’1, defining interval IÂ =Â [1,13], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 14 [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(3⁷¹, 797, F₃, 3, 14) (dual of [(797, 3), 2320, 15]-NRT-code)	[i]		OOA Folding
2	Linear OOA(3⁷¹, 797, F₃, 4, 14) (dual of [(797, 4), 3117, 15]-NRT-code)	[i]		OOA Folding