Information on Result #1549745
Linear OOA(5123, 4194302, F5, 3, 16) (dual of [(4194302, 3), 12582783, 17]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(5123, 4194302, F5, 2, 16) (dual of [(4194302, 2), 8388481, 17]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(5121, 4194301, F5, 2, 16) (dual of [(4194301, 2), 8388481, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(5121, 8388602, F5, 16) (dual of [8388602, 8388481, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(5121, large, F5, 16) (dual of [large, large−121, 17]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 510−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [i]
- discarding factors / shortening the dual code based on linear OA(5121, large, F5, 16) (dual of [large, large−121, 17]-code), using
- OOA 2-folding [i] based on linear OA(5121, 8388602, F5, 16) (dual of [8388602, 8388481, 17]-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(5124, 4194302, F5, 3, 16) (dual of [(4194302, 3), 12582782, 17]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(5123, 1398100, F5, 21, 16) (dual of [(1398100, 21), 29359977, 17]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |