Information on Result #1544650
Linear OOA(4238, 165841, F4, 3, 33) (dual of [(165841, 3), 497285, 34]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4238, 165841, F4, 33) (dual of [165841, 165603, 34]-code), using
- discarding factors / shortening the dual code based on linear OA(4238, 262169, F4, 33) (dual of [262169, 261931, 34]-code), using
- (u, u+v)-construction [i] based on
- linear OA(421, 24, F4, 16) (dual of [24, 3, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(421, 25, F4, 16) (dual of [25, 4, 17]-code), using
- 3 times truncation [i] based on linear OA(424, 28, F4, 19) (dual of [28, 4, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(421, 25, F4, 16) (dual of [25, 4, 17]-code), using
- 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]
- linear OA(421, 24, F4, 16) (dual of [24, 3, 17]-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(4238, 27640, F4, 39, 33) (dual of [(27640, 39), 1077722, 34]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |