MinT - Information on Result #1412444

Information on Result #1412444

Linear OOA(3¹⁶⁷, 4660, F₃, 2, 29) (dual of [(4660, 2), 9153, 30]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OA(3¹⁶⁷, 4660, F₃, 29) (dual of [4660, 4493, 30]-code), using

discarding factors / shortening the dual code based on linear OA(3¹⁶⁷, 6576, F₃, 29) (dual of [6576, 6409, 30]-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OA(3¹⁴, 15, F₃, 14) (dual of [15, 1, 15]-code or 15-arc in PG(13,3)), using
    - dual of repetition code with length 15 [i]
  2. linear OA(3¹⁵³, 6561, F₃, 29) (dual of [6561, 6408, 30]-code), using
    - an extension C_e(28) of the primitive narrow-sense BCH-code C(I) with length 6560Â = 3⁸âˆ’1, defining interval IÂ =Â [1,28], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 29 [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(3¹⁶⁷, 2330, F₃, 3, 29) (dual of [(2330, 3), 6823, 30]-NRT-code)	[i]		OOA Folding
2	Linear OOA(3¹⁶⁷, 2330, F₃, 4, 29) (dual of [(2330, 4), 9153, 30]-NRT-code)	[i]		OOA Folding