Information on Result #1538114
Linear OOA(4154, 627126, F4, 3, 19) (dual of [(627126, 3), 1881224, 20]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4154, 627126, F4, 19) (dual of [627126, 626972, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(4154, 1048605, F4, 19) (dual of [1048605, 1048451, 20]-code), using
- (u, u+v)-construction [i] based on
- linear OA(413, 28, F4, 9) (dual of [28, 15, 10]-code), using
- 2 times truncation [i] based on linear OA(415, 30, F4, 11) (dual of [30, 15, 12]-code), using
- extended quadratic residue code Qe(30,4) [i]
- 2 times truncation [i] based on linear OA(415, 30, F4, 11) (dual of [30, 15, 12]-code), using
- linear OA(4141, 1048577, F4, 19) (dual of [1048577, 1048436, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 1048577 | 420−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(413, 28, F4, 9) (dual of [28, 15, 10]-code), using
- (u, u+v)-construction [i] based on
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(4154, 209041, F4, 21, 19) (dual of [(209041, 21), 4389707, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |