Information on Result #808120
Linear OOA(2171, 520, F2, 2, 35) (dual of [(520, 2), 869, 36]-NRT-code), using OOA 2-folding based on linear OA(2171, 1040, F2, 35) (dual of [1040, 869, 36]-code), using
- construction X applied to Ce(34) ⊂ Ce(30) [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(2151, 1024, F2, 31) (dual of [1024, 873, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(25, 16, F2, 3) (dual of [16, 11, 4]-code or 16-cap in PG(4,2)), 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(2171, 453, F2, 3, 35) (dual of [(453, 3), 1188, 36]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(2171, 453, F2, 4, 35) (dual of [(453, 4), 1641, 36]-NRT-code) | [i] | ||
| 3 | Linear OOA(2171, 453, F2, 5, 35) (dual of [(453, 5), 2094, 36]-NRT-code) | [i] | ||
| 4 | Linear OOA(2171, 453, F2, 6, 35) (dual of [(453, 6), 2547, 36]-NRT-code) | [i] | ||
| 5 | Linear OOA(2171, 453, F2, 7, 35) (dual of [(453, 7), 3000, 36]-NRT-code) | [i] | ||
| 6 | Linear OOA(2171, 453, F2, 8, 35) (dual of [(453, 8), 3453, 36]-NRT-code) | [i] | ||
| 7 | Digital (136, 171, 453)-net over F2 | [i] | ||