Information on Result #1540467
Linear OOA(4189, 4194305, F4, 3, 21) (dual of [(4194305, 3), 12582726, 22]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(4189, 4194305, F4, 2, 21) (dual of [(4194305, 2), 8388421, 22]-NRT-code), using
- 4 times NRT-code embedding in larger space [i] based on linear OOA(4181, 4194301, F4, 2, 21) (dual of [(4194301, 2), 8388421, 22]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4181, 8388602, F4, 21) (dual of [8388602, 8388421, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(4181, large, F4, 21) (dual of [large, large−181, 22]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,20], and designed minimum distance d ≥ |I|+1 = 22 [i]
- discarding factors / shortening the dual code based on linear OA(4181, large, F4, 21) (dual of [large, large−181, 22]-code), using
- OOA 2-folding [i] based on linear OA(4181, 8388602, F4, 21) (dual of [8388602, 8388421, 22]-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m 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(4190, 4194305, F4, 3, 21) (dual of [(4194305, 3), 12582725, 22]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(4189, 1048576, F4, 27, 21) (dual of [(1048576, 27), 28311363, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |