Information on Result #984506
Linear OOA(972, 1594350, F9, 3, 11) (dual of [(1594350, 3), 4782978, 12]-NRT-code), using OOA 3-folding based on linear OA(972, 4783050, F9, 11) (dual of [4783050, 4782978, 12]-code), using
- 1 times code embedding in larger space [i] based on linear OA(971, 4783049, F9, 11) (dual of [4783049, 4782978, 12]-code), using
- (u, u+v)-construction [i] based on
- linear OA(97, 73, F9, 5) (dual of [73, 66, 6]-code), using
- linear OA(964, 4782976, F9, 11) (dual of [4782976, 4782912, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- linear OA(964, 4782969, F9, 11) (dual of [4782969, 4782905, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(957, 4782969, F9, 10) (dual of [4782969, 4782912, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(90, 7, F9, 0) (dual of [7, 7, 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
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- (u, u+v)-construction [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(3144, 3188700, F3, 3, 11) (dual of [(3188700, 3), 9565956, 12]-NRT-code) | [i] | Trace Code for OOAs | |