Information on Result #689718
Linear OA(939, 6571, F9, 11) (dual of [6571, 6532, 12]-code), using construction X applied to Ce(10) ⊂ Ce(7) based on
- linear OA(937, 6561, F9, 11) (dual of [6561, 6524, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(929, 6561, F9, 8) (dual of [6561, 6532, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(92, 10, F9, 2) (dual of [10, 8, 3]-code or 10-arc in PG(1,9)), using
- extended Reed–Solomon code RSe(8,9) [i]
- Hamming code H(2,9) [i]
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(940, 6572, F9, 11) (dual of [6572, 6532, 12]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(939, 5538, F9, 2, 11) (dual of [(5538, 2), 11037, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(939, 5538, F9, 3, 11) (dual of [(5538, 3), 16575, 12]-NRT-code) | [i] | ||
| 4 | Digital (28, 39, 5538)-net over F9 | [i] | ||
| 5 | Linear OA(940, 6573, F9, 11) (dual of [6573, 6533, 12]-code) | [i] | Construction X with Varšamov Bound | |
| 6 | Linear OOA(939, 3285, F9, 2, 11) (dual of [(3285, 2), 6531, 12]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(939, 2190, F9, 3, 11) (dual of [(2190, 3), 6531, 12]-NRT-code) | [i] | ||
| 8 | Linear OOA(939, 1314, F9, 11, 11) (dual of [(1314, 11), 14415, 12]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |