Information on Result #808119
Linear OOA(2167, 515, F2, 2, 35) (dual of [(515, 2), 863, 36]-NRT-code), using OOA 2-folding based on linear OA(2167, 1030, F2, 35) (dual of [1030, 863, 36]-code), using
- construction X applied to Ce(34) ⊂ Ce(32) [i] based on
- linear OA(2166, 1024, F2, 35) (dual of [1024, 858, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(2161, 1024, F2, 33) (dual of [1024, 863, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(21, 6, F2, 1) (dual of [6, 5, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
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 | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2169, 516, F2, 2, 35) (dual of [(516, 2), 863, 36]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2168, 515, F2, 2, 35) (dual of [(515, 2), 862, 36]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2167, 412, F2, 3, 35) (dual of [(412, 3), 1069, 36]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(2167, 412, F2, 4, 35) (dual of [(412, 4), 1481, 36]-NRT-code) | [i] | ||
| 5 | Linear OOA(2167, 412, F2, 5, 35) (dual of [(412, 5), 1893, 36]-NRT-code) | [i] | ||
| 6 | Linear OOA(2167, 412, F2, 6, 35) (dual of [(412, 6), 2305, 36]-NRT-code) | [i] | ||
| 7 | Linear OOA(2167, 412, F2, 7, 35) (dual of [(412, 7), 2717, 36]-NRT-code) | [i] | ||
| 8 | Linear OOA(2167, 412, F2, 8, 35) (dual of [(412, 8), 3129, 36]-NRT-code) | [i] | ||
| 9 | Digital (132, 167, 412)-net over F2 | [i] | ||