Information on Result #688962
Linear OA(9145, 4783002, F9, 23) (dual of [4783002, 4782857, 24]-code), using construction X applied to C([0,11]) ⊂ C([0,9]) 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 OA(9146, 4783003, F9, 23) (dual of [4783003, 4782857, 24]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(9147, 4783004, F9, 23) (dual of [4783004, 4782857, 24]-code) | [i] | ||
| 3 | Linear OOA(9145, 3791215, F9, 2, 23) (dual of [(3791215, 2), 7582285, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(9145, 3791215, F9, 3, 23) (dual of [(3791215, 3), 11373500, 24]-NRT-code) | [i] | ||
| 5 | Digital (122, 145, 3791215)-net over F9 | [i] | ||
| 6 | Linear OOA(9145, 2391501, F9, 2, 23) (dual of [(2391501, 2), 4782857, 24]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(9145, 1594334, F9, 3, 23) (dual of [(1594334, 3), 4782857, 24]-NRT-code) | [i] | ||
| 8 | Linear OOA(9145, 434818, F9, 23, 23) (dual of [(434818, 23), 10000669, 24]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |