Information on Result #689069
Linear OA(9127, 4783011, F9, 20) (dual of [4783011, 4782884, 21]-code), using construction X applied to Ce(19) ⊂ Ce(13) 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(985, 4782969, F9, 14) (dual of [4782969, 4782884, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(97, 42, F9, 5) (dual of [42, 35, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(97, 73, F9, 5) (dual of [73, 66, 6]-code), 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(9128, 4783012, F9, 20) (dual of [4783012, 4782884, 21]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(9129, 4783013, F9, 20) (dual of [4783013, 4782884, 21]-code) | [i] | ||
| 3 | Linear OA(9130, 4783014, F9, 20) (dual of [4783014, 4782884, 21]-code) | [i] | ||
| 4 | Linear OOA(9127, 4515820, F9, 2, 20) (dual of [(4515820, 2), 9031513, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 5 | Linear OOA(9127, 4515820, F9, 3, 20) (dual of [(4515820, 3), 13547333, 21]-NRT-code) | [i] | ||
| 6 | Digital (107, 127, 4515820)-net over F9 | [i] | ||
| 7 | Linear OA(9128, 4783013, F9, 20) (dual of [4783013, 4782885, 21]-code) | [i] | Construction X with Varšamov Bound | |
| 8 | Linear OA(9129, 4783015, F9, 20) (dual of [4783015, 4782886, 21]-code) | [i] | ||
| 9 | Linear OA(9130, 4783017, F9, 20) (dual of [4783017, 4782887, 21]-code) | [i] | ||
| 10 | Linear OOA(9127, 2391505, F9, 2, 20) (dual of [(2391505, 2), 4782883, 21]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(9127, 1594337, F9, 3, 20) (dual of [(1594337, 3), 4782884, 21]-NRT-code) | [i] | ||
| 12 | Linear OOA(9127, 478301, F9, 20, 20) (dual of [(478301, 20), 9565893, 21]-NRT-code) | [i] | OA Folding and Stacking | |