MinT - Information on Result #1415056

Information on Result #1415056

Linear OOA(3²⁰², 5270, F₃, 2, 35) (dual of [(5270, 2), 10338, 36]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OA(3²⁰², 5270, F₃, 35) (dual of [5270, 5068, 36]-code), using

discarding factors / shortening the dual code based on linear OA(3²⁰², 6579, F₃, 35) (dual of [6579, 6377, 36]-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OA(3¹⁷, 18, F₃, 17) (dual of [18, 1, 18]-code or 18-arc in PG(16,3)), using
    - dual of repetition code with length 18 [i]
  2. linear OA(3¹⁸⁵, 6561, F₃, 35) (dual of [6561, 6376, 36]-code), using
    - an extension C_e(34) of the primitive narrow-sense BCH-code C(I) with length 6560Â = 3⁸âˆ’1, defining interval IÂ =Â [1,34], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 35 [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(3²⁰², 2635, F₃, 3, 35) (dual of [(2635, 3), 7703, 36]-NRT-code)	[i]		OOA Folding
2	Linear OOA(3²⁰², 2635, F₃, 4, 35) (dual of [(2635, 4), 10338, 36]-NRT-code)	[i]		OOA Folding