Information on Result #688757
Linear OA(818, 66, F8, 11) (dual of [66, 48, 12]-code), using construction X applied to Ce(10) ⊂ Ce(9) based on
- linear OA(818, 64, F8, 11) (dual of [64, 46, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(816, 64, F8, 10) (dual of [64, 48, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(80, 2, F8, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 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(8119, 32839, F8, 23) (dual of [32839, 32720, 24]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(8120, 32846, F8, 23) (dual of [32846, 32726, 24]-code) | [i] | ||
| 3 | Linear OA(8114, 32839, F8, 22) (dual of [32839, 32725, 23]-code) | [i] | ||
| 4 | Linear OA(8169, 32835, F8, 35) (dual of [32835, 32666, 36]-code) | [i] | Construction X with Cyclic Codes | |
| 5 | Linear OA(8159, 32835, F8, 33) (dual of [32835, 32676, 34]-code) | [i] | ||
| 6 | Linear OA(8164, 32834, F8, 34) (dual of [32834, 32670, 35]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 7 | Linear OA(8134, 32834, F8, 27) (dual of [32834, 32700, 28]-code) | [i] | ||
| 8 | Linear OA(8129, 32834, F8, 26) (dual of [32834, 32705, 27]-code) | [i] | ||
| 9 | Linear OA(8124, 32834, F8, 25) (dual of [32834, 32710, 26]-code) | [i] | ||
| 10 | Linear OOA(818, 33, F8, 2, 11) (dual of [(33, 2), 48, 12]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(818, 22, F8, 3, 11) (dual of [(22, 3), 48, 12]-NRT-code) | [i] | ||