Information on Result #1590344
Linear OOA(2111, 563, F2, 4, 21) (dual of [(563, 4), 2141, 22]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2111, 563, F2, 3, 21) (dual of [(563, 3), 1578, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2111, 683, F2, 3, 21) (dual of [(683, 3), 1938, 22]-NRT-code), using
- OOA 3-folding [i] based on linear OA(2111, 2049, F2, 21) (dual of [2049, 1938, 22]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 2049 | 222−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(2111, 2049, F2, 21) (dual of [2049, 1938, 22]-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(2111, 281, F2, 8, 21) (dual of [(281, 8), 2137, 22]-NRT-code) | [i] | OOA Folding |