Information on Result #2254109
Linear OA(997, 531447, F9, 18) (dual of [531447, 531350, 19]-code), using 1 times truncation based on linear OA(998, 531448, F9, 19) (dual of [531448, 531350, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(16) [i] based on
- linear OA(997, 531441, F9, 19) (dual of [531441, 531344, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(991, 531441, F9, 17) (dual of [531441, 531350, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(91, 7, F9, 1) (dual of [7, 6, 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(997, 451747, F9, 2, 18) (dual of [(451747, 2), 903397, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(997, 451747, F9, 3, 18) (dual of [(451747, 3), 1355144, 19]-NRT-code) | [i] | ||
| 3 | Digital (79, 97, 451747)-net over F9 | [i] | ||
| 4 | Linear OOA(997, 265723, F9, 2, 18) (dual of [(265723, 2), 531349, 19]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(997, 177149, F9, 3, 18) (dual of [(177149, 3), 531350, 19]-NRT-code) | [i] | ||