Information on Result #691104
Linear OA(918, 84, F9, 10) (dual of [84, 66, 11]-code), using construction X applied to Ce(9) ⊂ Ce(7) based on
- linear OA(917, 81, F9, 10) (dual of [81, 64, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(915, 81, F9, 8) (dual of [81, 66, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(91, 3, F9, 1) (dual of [3, 2, 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(918, 47, F9, 2, 10) (dual of [(47, 2), 76, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(918, 47, F9, 3, 10) (dual of [(47, 3), 123, 11]-NRT-code) | [i] | ||
| 3 | Digital (8, 18, 47)-net over F9 | [i] | ||
| 4 | Linear OOA(918, 42, F9, 2, 10) (dual of [(42, 2), 66, 11]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(918, 28, F9, 3, 10) (dual of [(28, 3), 66, 11]-NRT-code) | [i] | ||