Information on Result #689360
Linear OA(921, 59054, F9, 5) (dual of [59054, 59033, 6]-code), using construction X applied to Ce(4) ⊂ Ce(3) based on
- linear OA(921, 59049, F9, 5) (dual of [59049, 59028, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(916, 59049, F9, 4) (dual of [59049, 59033, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(90, 5, F9, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
Mode: Constructive and 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(921, 59054, F9, 2, 5) (dual of [(59054, 2), 118087, 6]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(921, 59054, F9, 3, 5) (dual of [(59054, 3), 177141, 6]-NRT-code) | [i] | ||
| 3 | Digital (16, 21, 59054)-net over F9 | [i] | ||
| 4 | Linear OOA(921, 29527, F9, 2, 5) (dual of [(29527, 2), 59033, 6]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(921, 29526, F9, 3, 5) (dual of [(29526, 3), 88557, 6]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |
| 6 | Linear OOA(921, 29526, F9, 5, 5) (dual of [(29526, 5), 147609, 6]-NRT-code) | [i] | ||