Information on Result #851308
Linear OOA(9121, 2391506, F9, 2, 19) (dual of [(2391506, 2), 4782891, 20]-NRT-code), using OOA 2-folding based on linear OA(9121, 4783012, F9, 19) (dual of [4783012, 4782891, 20]-code), using
- 1 times code embedding in larger space [i] based on linear OA(9120, 4783011, F9, 19) (dual of [4783011, 4782891, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(12) [i] based on
- linear OA(9113, 4782969, F9, 19) (dual of [4782969, 4782856, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(978, 4782969, F9, 13) (dual of [4782969, 4782891, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(97, 42, F9, 5) (dual of [42, 35, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(97, 73, F9, 5) (dual of [73, 66, 6]-code), using
- construction X applied to Ce(18) ⊂ Ce(12) [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(9123, 2391507, F9, 2, 19) (dual of [(2391507, 2), 4782891, 20]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(9122, 2391506, F9, 2, 19) (dual of [(2391506, 2), 4782890, 20]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3242, 4783012, F3, 2, 19) (dual of [(4783012, 2), 9565782, 20]-NRT-code) | [i] | Trace Code for OOAs | |