MinT - Information on Result #809186

Information on Result #809186

Linear OOA(2²⁵³, 1023, F₂, 2, 46) (dual of [(1023, 2), 1793, 47]-NRT-code), using OOA 2-folding based on linear OA(2²⁵³, 2046, F₂, 46) (dual of [2046, 1793, 47]-code), using

discarding factors / shortening the dual code based on linear OA(2²⁵³, 2047, F₂, 46) (dual of [2047, 1794, 47]-code), using
- 1 times truncation [i] based on linear OA(2²⁵⁴, 2048, F₂, 47) (dual of [2048, 1794, 48]-code), using
  - an extension C_e(46) of the primitive narrow-sense BCH-code C(I) with length 2047Â = 2¹¹âˆ’1, defining interval IÂ =Â [1,46], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 47 [i]

Mode: Constructive and 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		Method
1	Linear OOA(2²⁵³, 904, F₂, 3, 46) (dual of [(904, 3), 2459, 47]-NRT-code)	[i]	Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
2	Linear OOA(2²⁵³, 904, F₂, 4, 46) (dual of [(904, 4), 3363, 47]-NRT-code)	[i]
3	Linear OOA(2²⁵³, 904, F₂, 5, 46) (dual of [(904, 5), 4267, 47]-NRT-code)	[i]
4	Linear OOA(2²⁵³, 904, F₂, 6, 46) (dual of [(904, 6), 5171, 47]-NRT-code)	[i]
5	Linear OOA(2²⁵³, 904, F₂, 7, 46) (dual of [(904, 7), 6075, 47]-NRT-code)	[i]
6	Linear OOA(2²⁵³, 904, F₂, 8, 46) (dual of [(904, 8), 6979, 47]-NRT-code)	[i]
7	Digital (207, 253, 904)-net over F₂	[i]