Information on Result #689018
Linear OA(979, 4782984, F9, 13) (dual of [4782984, 4782905, 14]-code), using construction X applied to Ce(12) ⊂ Ce(10) based on
- 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(964, 4782969, F9, 11) (dual of [4782969, 4782905, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(91, 15, F9, 1) (dual of [15, 14, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, s, F9, 1) (dual of [s, s−1, 2]-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(979, 3584019, F9, 2, 13) (dual of [(3584019, 2), 7167959, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(979, 3584019, F9, 3, 13) (dual of [(3584019, 3), 10751978, 14]-NRT-code) | [i] | ||
| 3 | Digital (66, 79, 3584019)-net over F9 | [i] | ||
| 4 | Linear OOA(979, 2391492, F9, 2, 13) (dual of [(2391492, 2), 4782905, 14]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(979, 1594328, F9, 3, 13) (dual of [(1594328, 3), 4782905, 14]-NRT-code) | [i] | ||