Information on Result #945890
Linear OOA(2100, 682, F2, 3, 19) (dual of [(682, 3), 1946, 20]-NRT-code), using OOA 3-folding based on linear OA(2100, 2046, F2, 19) (dual of [2046, 1946, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(2100, 2048, F2, 19) (dual of [2048, 1948, 20]-code), using
- an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 2047 = 211−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(2100, 547, F2, 4, 19) (dual of [(547, 4), 2088, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(2100, 547, F2, 5, 19) (dual of [(547, 5), 2635, 20]-NRT-code) | [i] | ||
| 3 | Linear OOA(2100, 547, F2, 6, 19) (dual of [(547, 6), 3182, 20]-NRT-code) | [i] | ||
| 4 | Linear OOA(2100, 547, F2, 7, 19) (dual of [(547, 7), 3729, 20]-NRT-code) | [i] | ||
| 5 | Linear OOA(2100, 547, F2, 8, 19) (dual of [(547, 8), 4276, 20]-NRT-code) | [i] | ||
| 6 | Digital (81, 100, 547)-net over F2 | [i] | ||