Information on Result #893846
Linear OOA(3224, 4782968, F3, 2, 18) (dual of [(4782968, 2), 9565712, 19]-NRT-code), using trace code based on linear OOA(9112, 2391484, F9, 2, 18) (dual of [(2391484, 2), 4782856, 19]-NRT-code), using
- OOA 2-folding [i] based on linear OA(9112, 4782968, F9, 18) (dual of [4782968, 4782856, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(9112, 4782969, F9, 18) (dual of [4782969, 4782857, 19]-code), using
- 1 times truncation [i] based on linear OA(9113, 4782970, F9, 19) (dual of [4782970, 4782857, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4782970 | 914−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(9113, 4782970, F9, 19) (dual of [4782970, 4782857, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(9112, 4782969, F9, 18) (dual of [4782969, 4782857, 19]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m 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(3224, 2391484, F3, 4, 18) (dual of [(2391484, 4), 9565712, 19]-NRT-code) | [i] | OOA Folding | |