Information on Result #1701338
Linear OOA(2187, 1398101, F2, 8, 16) (dual of [(1398101, 8), 11184621, 17]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2187, 1398101, F2, 6, 16) (dual of [(1398101, 6), 8388419, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(2187, 2796202, F2, 3, 16) (dual of [(2796202, 3), 8388419, 17]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(2184, 2796201, F2, 3, 16) (dual of [(2796201, 3), 8388419, 17]-NRT-code), using
- OOA 3-folding [i] based on linear OA(2184, large, F2, 16) (dual of [large, large−184, 17]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- OOA 3-folding [i] based on linear OA(2184, large, F2, 16) (dual of [large, large−184, 17]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(2184, 2796201, F2, 3, 16) (dual of [(2796201, 3), 8388419, 17]-NRT-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(2187, 1398100, F2, 24, 16) (dual of [(1398100, 24), 33554213, 17]-NRT-code) | [i] | OOA Stacking with Additional Row | |