Information on Result #1589945
Linear OOA(299, 681, F2, 4, 18) (dual of [(681, 4), 2625, 19]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(299, 681, F2, 3, 18) (dual of [(681, 3), 1944, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(299, 682, F2, 3, 18) (dual of [(682, 3), 1947, 19]-NRT-code), using
- OOA 3-folding [i] based on linear OA(299, 2046, F2, 18) (dual of [2046, 1947, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(299, 2047, F2, 18) (dual of [2047, 1948, 19]-code), using
- 1 times truncation [i] 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]
- 1 times truncation [i] based on linear OA(2100, 2048, F2, 19) (dual of [2048, 1948, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(299, 2047, F2, 18) (dual of [2047, 1948, 19]-code), using
- OOA 3-folding [i] based on linear OA(299, 2046, F2, 18) (dual of [2046, 1947, 19]-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(299, 340, F2, 7, 18) (dual of [(340, 7), 2281, 19]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(299, 340, F2, 8, 18) (dual of [(340, 8), 2621, 19]-NRT-code) | [i] | ||