Information on Result #1323832
Linear OA(9130, 4783021, F9, 20) (dual of [4783021, 4782891, 21]-code), using construction X applied to Ce(19) ⊂ Ce(12) based on
- linear OA(9120, 4782969, F9, 20) (dual of [4782969, 4782849, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(978, 4782969, F9, 13) (dual of [4782969, 4782891, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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(9130, 4783021, F9, 2, 20) (dual of [(4783021, 2), 9565912, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(9130, 4783021, F9, 3, 20) (dual of [(4783021, 3), 14348933, 21]-NRT-code) | [i] | ||
| 3 | Digital (110, 130, 4783021)-net over F9 | [i] | ||
| 4 | Linear OA(9131, 4783023, F9, 20) (dual of [4783023, 4782892, 21]-code) | [i] | Construction X with Varšamov Bound | |
| 5 | Linear OOA(9130, 2391510, F9, 2, 20) (dual of [(2391510, 2), 4782890, 21]-NRT-code) | [i] | OOA Folding | |