MinT - Information on Result #1096574

Information on Result #1096574

Linear OOA(2¹⁹⁵, 6553, F₂, 5, 26) (dual of [(6553, 5), 32570, 27]-NRT-code), using OOA 5-folding based on linear OA(2¹⁹⁵, 32765, F₂, 26) (dual of [32765, 32570, 27]-code), using

discarding factors / shortening the dual code based on linear OA(2¹⁹⁵, 32767, F₂, 26) (dual of [32767, 32572, 27]-code), using
- 1 times truncation [i] based on linear OA(2¹⁹⁶, 32768, F₂, 27) (dual of [32768, 32572, 28]-code), using
  - an extension C_e(26) of the primitive narrow-sense BCH-code C(I) with length 32767Â = 2¹⁵âˆ’1, defining interval IÂ =Â [1,26], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 27 [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(2¹⁹⁵, 5984, F₂, 6, 26) (dual of [(5984, 6), 35709, 27]-NRT-code)	[i]	Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
2	Linear OOA(2¹⁹⁵, 5984, F₂, 7, 26) (dual of [(5984, 7), 41693, 27]-NRT-code)	[i]
3	Linear OOA(2¹⁹⁵, 5984, F₂, 8, 26) (dual of [(5984, 8), 47677, 27]-NRT-code)	[i]
4	Digital (169, 195, 5984)-net over F₂	[i]