Information on Result #1590711
Linear OOA(2121, 682, F2, 4, 22) (dual of [(682, 4), 2607, 23]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2121, 682, F2, 3, 22) (dual of [(682, 3), 1925, 23]-NRT-code), using
- OOA 3-folding [i] based on linear OA(2121, 2046, F2, 22) (dual of [2046, 1925, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(2121, 2047, F2, 22) (dual of [2047, 1926, 23]-code), using
- 1 times truncation [i] based on linear OA(2122, 2048, F2, 23) (dual of [2048, 1926, 24]-code), using
- an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 2047 = 211−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- 1 times truncation [i] based on linear OA(2122, 2048, F2, 23) (dual of [2048, 1926, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(2121, 2047, F2, 22) (dual of [2047, 1926, 23]-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(2121, 341, F2, 7, 22) (dual of [(341, 7), 2266, 23]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2121, 341, F2, 8, 22) (dual of [(341, 8), 2607, 23]-NRT-code) | [i] | ||