Information on Result #1560764
Linear OOA(992, 1062888, F9, 3, 16) (dual of [(1062888, 3), 3188572, 17]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(992, 1062888, F9, 16) (dual of [1062888, 1062796, 17]-code), using
- trace code [i] based on linear OA(8146, 531444, F81, 16) (dual of [531444, 531398, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(14) [i] based on
- linear OA(8146, 531441, F81, 16) (dual of [531441, 531395, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(8143, 531441, F81, 15) (dual of [531441, 531398, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(810, 3, F81, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(810, s, F81, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(15) ⊂ Ce(14) [i] based on
Mode: Linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n 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(992, 354295, F9, 21, 16) (dual of [(354295, 21), 7440103, 17]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |