Information on Result #2798102
Linear OOA(3248, 8388601, F3, 4, 16) (dual of [(8388601, 4), 33554156, 17]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(3244, 8388600, F3, 4, 16) (dual of [(8388600, 4), 33554156, 17]-NRT-code), using
- trace code [i] based on linear OOA(8161, 2097150, F81, 4, 16) (dual of [(2097150, 4), 8388539, 17]-NRT-code), using
- OOA 4-folding [i] based on linear OA(8161, 8388600, F81, 16) (dual of [8388600, 8388539, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(8161, large, F81, 16) (dual of [large, large−61, 17]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [i]
- discarding factors / shortening the dual code based on linear OA(8161, large, F81, 16) (dual of [large, large−61, 17]-code), using
- OOA 4-folding [i] based on linear OA(8161, 8388600, F81, 16) (dual of [8388600, 8388539, 17]-code), using
Mode: Constructive and 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(3249, 8388601, F3, 4, 16) (dual of [(8388601, 4), 33554155, 17]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3250, 8388601, F3, 4, 16) (dual of [(8388601, 4), 33554154, 17]-NRT-code) | [i] | ||
| 3 | Linear OOA(3248, 4194300, F3, 20, 16) (dual of [(4194300, 20), 83885752, 17]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |