Information on Result #1079636
Linear OOA(2161, 2097278, F2, 4, 12) (dual of [(2097278, 4), 8388951, 13]-NRT-code), using (u, u+v)-construction based on
- linear OOA(221, 127, F2, 4, 6) (dual of [(127, 4), 487, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (15, 21, 127)-net over F2, using
- linear OOA(2140, 2097151, F2, 4, 12) (dual of [(2097151, 4), 8388464, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(2140, 4194302, F2, 2, 12) (dual of [(4194302, 2), 8388464, 13]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(2138, 4194301, F2, 2, 12) (dual of [(4194301, 2), 8388464, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2138, 8388602, F2, 12) (dual of [8388602, 8388464, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(2138, large, F2, 12) (dual of [large, large−138, 13]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- discarding factors / shortening the dual code based on linear OA(2138, large, F2, 12) (dual of [large, large−138, 13]-code), using
- OOA 2-folding [i] based on linear OA(2138, 8388602, F2, 12) (dual of [8388602, 8388464, 13]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(2138, 4194301, F2, 2, 12) (dual of [(4194301, 2), 8388464, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(2140, 4194302, F2, 2, 12) (dual of [(4194302, 2), 8388464, 13]-NRT-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(2228, 4194556, F2, 4, 12) (dual of [(4194556, 4), 16777996, 13]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |