Information on Result #1323831
Linear OA(9137, 4783021, F9, 21) (dual of [4783021, 4782884, 22]-code), using construction X applied to Ce(20) ⊂ Ce(13) based on
- linear OA(9127, 4782969, F9, 21) (dual of [4782969, 4782842, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(985, 4782969, F9, 14) (dual of [4782969, 4782884, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(910, 52, F9, 6) (dual of [52, 42, 7]-code), using
- a “Gra†code from Grassl’s database [i]
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(9137, 4783021, F9, 2, 21) (dual of [(4783021, 2), 9565905, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(9137, 4783021, F9, 3, 21) (dual of [(4783021, 3), 14348926, 22]-NRT-code) | [i] | ||
| 3 | Digital (116, 137, 4783021)-net over F9 | [i] | ||
| 4 | Linear OA(9138, 4783023, F9, 21) (dual of [4783023, 4782885, 22]-code) | [i] | Construction X with Varšamov Bound | |
| 5 | Linear OOA(9137, 2391510, F9, 2, 21) (dual of [(2391510, 2), 4782883, 22]-NRT-code) | [i] | OOA Folding | |