MinT - Information on Result #1411330

Information on Result #1411330

Linear OOA(3¹⁵⁰, 4470, F₃, 2, 26) (dual of [(4470, 2), 8790, 27]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OA(3¹⁵⁰, 4470, F₃, 26) (dual of [4470, 4320, 27]-code), using

discarding factors / shortening the dual code based on linear OA(3¹⁵⁰, 6575, F₃, 26) (dual of [6575, 6425, 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(3¹³⁷, 6561, F₃, 26) (dual of [6561, 6424, 27]-code), using
    - an extension C_e(25) of the primitive narrow-sense BCH-code C(I) with length 6560Â = 3⁸âˆ’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(3¹⁵⁰, 2235, F₃, 3, 26) (dual of [(2235, 3), 6555, 27]-NRT-code)	[i]		OOA Folding
2	Linear OOA(3¹⁵⁰, 2235, F₃, 4, 26) (dual of [(2235, 4), 8790, 27]-NRT-code)	[i]		OOA Folding