Information on Result #2284246
Linear OA(9146, 4783003, F9, 23) (dual of [4783003, 4782857, 24]-code), using 1 times code embedding in larger space based on linear OA(9145, 4783002, F9, 23) (dual of [4783002, 4782857, 24]-code), using
- construction X applied to C([0,11]) ⊂ C([0,9]) [i] based on
- linear OA(9141, 4782970, F9, 23) (dual of [4782970, 4782829, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 4782970 | 914−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(9113, 4782970, F9, 19) (dual of [4782970, 4782857, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 4782970 | 914−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(94, 32, F9, 3) (dual of [32, 28, 4]-code or 32-cap in PG(3,9)), 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(9146, 4209385, F9, 2, 23) (dual of [(4209385, 2), 8418624, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(9146, 4209385, F9, 3, 23) (dual of [(4209385, 3), 12628009, 24]-NRT-code) | [i] | ||
| 3 | Digital (123, 146, 4209385)-net over F9 | [i] | ||