Information on Result #1607301
Linear OOA(3183, 4194326, F3, 4, 17) (dual of [(4194326, 4), 16777121, 18]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3183, 4194326, F3, 2, 17) (dual of [(4194326, 2), 8388469, 18]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(317, 25, F3, 2, 8) (dual of [(25, 2), 33, 9]-NRT-code), using
- linear OOA(3166, 4194301, F3, 2, 17) (dual of [(4194301, 2), 8388436, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3166, 8388602, F3, 17) (dual of [8388602, 8388436, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(3166, large, F3, 17) (dual of [large, large−166, 18]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,16], and designed minimum distance d ≥ |I|+1 = 18 [i]
- discarding factors / shortening the dual code based on linear OA(3166, large, F3, 17) (dual of [large, large−166, 18]-code), using
- OOA 2-folding [i] based on linear OA(3166, 8388602, F3, 17) (dual of [8388602, 8388436, 18]-code), using
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(3183, 2097162, F3, 20, 17) (dual of [(2097162, 20), 41943057, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |