Information on Result #1082506
Linear OOA(8160, 2099337, F81, 4, 13) (dual of [(2099337, 4), 8397288, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(8111, 2187, F81, 4, 6) (dual of [(2187, 4), 8737, 7]-NRT-code), using
- OA 3-folding and stacking [i] based on linear OA(8111, 6561, F81, 6) (dual of [6561, 6550, 7]-code), using
- an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- OA 3-folding and stacking [i] based on linear OA(8111, 6561, F81, 6) (dual of [6561, 6550, 7]-code), using
- linear OOA(8149, 2097150, F81, 4, 13) (dual of [(2097150, 4), 8388551, 14]-NRT-code), using
- OOA 4-folding [i] based on linear OA(8149, 8388600, F81, 13) (dual of [8388600, 8388551, 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 4-folding [i] based on linear OA(8149, 8388600, F81, 13) (dual of [8388600, 8388551, 14]-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(8181, 4198674, F81, 4, 13) (dual of [(4198674, 4), 16794615, 14]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |