Information on Result #1542637
Linear OOA(4216, 107819, F4, 3, 32) (dual of [(107819, 3), 323241, 33]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(4216, 107819, F4, 2, 32) (dual of [(107819, 2), 215422, 33]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4216, 131072, F4, 2, 32) (dual of [(131072, 2), 261928, 33]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4216, 262144, F4, 32) (dual of [262144, 261928, 33]-code), using
- 1 times truncation [i] based on linear OA(4217, 262145, F4, 33) (dual of [262145, 261928, 34]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 262145 | 418−1, 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(4217, 262145, F4, 33) (dual of [262145, 261928, 34]-code), using
- OOA 2-folding [i] based on linear OA(4216, 262144, F4, 32) (dual of [262144, 261928, 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(4216, 17969, F4, 39, 32) (dual of [(17969, 39), 700575, 33]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |