Information on Result #2480048
Linear OOA(2147, 257, F2, 2, 35) (dual of [(257, 2), 367, 36]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(2145, 256, F2, 2, 35) (dual of [(256, 2), 367, 36]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2145, 512, F2, 35) (dual of [512, 367, 36]-code), using
- an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [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 | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2147, 253, F2, 3, 35) (dual of [(253, 3), 612, 36]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(2147, 253, F2, 4, 35) (dual of [(253, 4), 865, 36]-NRT-code) | [i] | ||
| 3 | Linear OOA(2147, 253, F2, 5, 35) (dual of [(253, 5), 1118, 36]-NRT-code) | [i] | ||
| 4 | Linear OOA(2147, 253, F2, 6, 35) (dual of [(253, 6), 1371, 36]-NRT-code) | [i] | ||
| 5 | Linear OOA(2147, 253, F2, 7, 35) (dual of [(253, 7), 1624, 36]-NRT-code) | [i] | ||
| 6 | Linear OOA(2147, 253, F2, 8, 35) (dual of [(253, 8), 1877, 36]-NRT-code) | [i] | ||
| 7 | Digital (112, 147, 253)-net over F2 | [i] | ||