Information on Result #691103
Linear OA(918, 82, F9, 11) (dual of [82, 64, 12]-code), using construction X applied to Ce(10) ⊂ Ce(9) based on
- linear OA(918, 81, F9, 11) (dual of [81, 63, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- 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(90, 1, F9, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-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 OA(919, 83, F9, 11) (dual of [83, 64, 12]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(916, 80, F9, 9) (dual of [80, 64, 10]-code) | [i] | Truncation | |
| 3 | Linear OA(9119, 59136, F9, 23) (dual of [59136, 59017, 24]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(9120, 59143, F9, 23) (dual of [59143, 59023, 24]-code) | [i] | ||
| 5 | Linear OA(9114, 59136, F9, 22) (dual of [59136, 59022, 23]-code) | [i] | ||
| 6 | Linear OOA(918, 41, F9, 2, 11) (dual of [(41, 2), 64, 12]-NRT-code) | [i] | OOA Folding | |