Information on Result #1522072
Linear OOA(3105, 4194405, F3, 3, 10) (dual of [(4194405, 3), 12583110, 11]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3105, 4194405, F3, 2, 10) (dual of [(4194405, 2), 8388705, 11]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(314, 104, F3, 2, 5) (dual of [(104, 2), 194, 6]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(314, 104, F3, 5) (dual of [104, 90, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(314, 146, F3, 5) (dual of [146, 132, 6]-code), using
- trace code [i] based on linear OA(97, 73, F9, 5) (dual of [73, 66, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(314, 146, F3, 5) (dual of [146, 132, 6]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(314, 104, F3, 5) (dual of [104, 90, 6]-code), using
- linear OOA(391, 4194301, F3, 2, 10) (dual of [(4194301, 2), 8388511, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OA(391, 8388602, F3, 10) (dual of [8388602, 8388511, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(391, large, F3, 10) (dual of [large, large−91, 11]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- discarding factors / shortening the dual code based on linear OA(391, large, F3, 10) (dual of [large, large−91, 11]-code), using
- OOA 2-folding [i] based on linear OA(391, 8388602, F3, 10) (dual of [8388602, 8388511, 11]-code), using
- linear OOA(314, 104, F3, 2, 5) (dual of [(104, 2), 194, 6]-NRT-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
None.