Information on Result #1704072
Linear OOA(2224, 3276, F2, 8, 32) (dual of [(3276, 8), 25984, 33]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2224, 3276, F2, 5, 32) (dual of [(3276, 5), 16156, 33]-NRT-code), using
- OOA 5-folding [i] based on linear OA(2224, 16380, F2, 32) (dual of [16380, 16156, 33]-code), using
- discarding factors / shortening the dual code based on linear OA(2224, 16384, F2, 32) (dual of [16384, 16160, 33]-code), using
- 1 times truncation [i] based on linear OA(2225, 16385, F2, 33) (dual of [16385, 16160, 34]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16385 | 228−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(2225, 16385, F2, 33) (dual of [16385, 16160, 34]-code), using
- discarding factors / shortening the dual code based on linear OA(2224, 16384, F2, 32) (dual of [16384, 16160, 33]-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(2224, 1637, F2, 40, 32) (dual of [(1637, 40), 65256, 33]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row |