Information on Result #1083191
Linear OOA(12873, 2097408, F128, 4, 16) (dual of [(2097408, 4), 8389559, 17]-NRT-code), using (u, u+v)-construction based on
- linear OOA(12812, 258, F128, 4, 8) (dual of [(258, 4), 1020, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(1284, 129, F128, 4, 4) (dual of [(129, 4), 512, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;512,128) [i]
- linear OOA(1288, 129, F128, 4, 8) (dual of [(129, 4), 508, 9]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;508,128) [i]
- linear OOA(1284, 129, F128, 4, 4) (dual of [(129, 4), 512, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(12861, 2097150, F128, 4, 16) (dual of [(2097150, 4), 8388539, 17]-NRT-code), using
- OOA 4-folding [i] based on linear OA(12861, 8388600, F128, 16) (dual of [8388600, 8388539, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(12861, large, F128, 16) (dual of [large, large−61, 17]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9256395 | 1284−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [i]
- discarding factors / shortening the dual code based on linear OA(12861, large, F128, 16) (dual of [large, large−61, 17]-code), using
- OOA 4-folding [i] based on linear OA(12861, 8388600, F128, 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(12873, 1048703, F128, 20, 16) (dual of [(1048703, 20), 20973987, 17]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |