Information on Result #731894
Linear OA(853, 32830, F8, 11) (dual of [32830, 32777, 12]-code), using (u, u+v)-construction based on
- linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), using
- linear OA(846, 32773, F8, 11) (dual of [32773, 32727, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- linear OA(846, 32768, F8, 11) (dual of [32768, 32722, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(841, 32768, F8, 10) (dual of [32768, 32727, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(80, 5, F8, 0) (dual of [5, 5, 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
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
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 OOA(853, 16415, F8, 2, 11) (dual of [(16415, 2), 32777, 12]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(853, 10943, F8, 3, 11) (dual of [(10943, 3), 32776, 12]-NRT-code) | [i] | ||
| 3 | Linear OOA(853, 6565, F8, 11, 11) (dual of [(6565, 11), 72162, 12]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |