Information on Result #1589973
Linear OOA(2100, 547, F2, 4, 19) (dual of [(547, 4), 2088, 20]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2100, 547, F2, 3, 19) (dual of [(547, 3), 1541, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2100, 682, F2, 3, 19) (dual of [(682, 3), 1946, 20]-NRT-code), using
- OOA 3-folding [i] 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]
- discarding factors / shortening the dual code based on linear OA(2100, 2048, F2, 19) (dual of [2048, 1948, 20]-code), using
- OOA 3-folding [i] based on linear OA(2100, 2046, F2, 19) (dual of [2046, 1946, 20]-code), using
Mode: 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, 273, F2, 8, 19) (dual of [(273, 8), 2084, 20]-NRT-code) | [i] | OOA Folding | |