Information on Result #1596464
Linear OOA(2214, 3109432, F2, 4, 14) (dual of [(3109432, 4), 12437514, 15]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2214, 3109432, F2, 2, 14) (dual of [(3109432, 2), 6218650, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2214, 4325372, F2, 2, 14) (dual of [(4325372, 2), 8650530, 15]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(253, 131071, F2, 2, 7) (dual of [(131071, 2), 262089, 8]-NRT-code), using
- extracting embedded OOA [i] based on digital (46, 53, 131071)-net over F2, using
- linear OOA(2161, 4194301, F2, 2, 14) (dual of [(4194301, 2), 8388441, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2161, 8388602, F2, 14) (dual of [8388602, 8388441, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(2161, large, F2, 14) (dual of [large, large−161, 15]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- discarding factors / shortening the dual code based on linear OA(2161, large, F2, 14) (dual of [large, large−161, 15]-code), using
- OOA 2-folding [i] based on linear OA(2161, 8388602, F2, 14) (dual of [8388602, 8388441, 15]-code), using
- linear OOA(253, 131071, F2, 2, 7) (dual of [(131071, 2), 262089, 8]-NRT-code), using
- (u, u+v)-construction [i] based on
Mode: 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(2214, 1554716, F2, 7, 14) (dual of [(1554716, 7), 10882798, 15]-NRT-code) | [i] | OOA Folding | |