Information on Result #2774352
Linear OOA(3204, large, F3, 4, 8), using strength reduction based on linear OOA(3204, large, F3, 4, 13), using
- trace code [i] based on linear OOA(8151, 2097151, F81, 4, 13) (dual of [(2097151, 4), 8388553, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(8151, 4194302, F81, 2, 13) (dual of [(4194302, 2), 8388553, 14]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(8149, 4194301, F81, 2, 13) (dual of [(4194301, 2), 8388553, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8149, 8388602, F81, 13) (dual of [8388602, 8388553, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(8149, large, F81, 13) (dual of [large, large−49, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523361 | 818−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(8149, large, F81, 13) (dual of [large, large−49, 14]-code), using
- OOA 2-folding [i] based on linear OA(8149, 8388602, F81, 13) (dual of [8388602, 8388553, 14]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(8149, 4194301, F81, 2, 13) (dual of [(4194301, 2), 8388553, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(8151, 4194302, F81, 2, 13) (dual of [(4194302, 2), 8388553, 14]-NRT-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, 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(3205, large, F3, 4, 8) | [i] | OOA Duplication | |
| 2 | Linear OOA(3206, large, F3, 4, 8) | [i] | ||
| 3 | Linear OOA(3207, large, F3, 4, 8) | [i] | ||