MinT - Information on Result #2485554

Information on Result #2485554

Linear OOA(3¹⁰⁹, 4194302, F₃, 2, 11) (dual of [(4194302, 2), 8388495, 12]-NRT-code), using 3¹ times duplication based on linear OOA(3¹⁰⁸, 4194302, F₃, 2, 11) (dual of [(4194302, 2), 8388496, 12]-NRT-code), using

1 times NRT-code embedding in larger space [i] based on linear OOA(3¹⁰⁶, 4194301, F₃, 2, 11) (dual of [(4194301, 2), 8388496, 12]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3¹⁰⁶, 8388602, F₃, 11) (dual of [8388602, 8388496, 12]-code), using
  - discarding factors / shortening the dual code based on linear OA(3¹⁰⁶, large, F₃, 11) (dual of [large, large−106, 12]-code), using
    - the primitive expurgated narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [0,10], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 12 [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		Method
1	Linear OOA(3¹⁰⁹, 4194302, F₃, 3, 11) (dual of [(4194302, 3), 12582797, 12]-NRT-code)	[i]	Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
2	Linear OOA(3¹⁰⁹, 4194302, F₃, 4, 11) (dual of [(4194302, 4), 16777099, 12]-NRT-code)	[i]
3	Linear OOA(3¹⁰⁹, 4194302, F₃, 5, 11) (dual of [(4194302, 5), 20971401, 12]-NRT-code)	[i]
4	Digital (98, 109, 4194302)-net over F₃	[i]