Information on Result #1602948
Linear OOA(3107, 4194520, F3, 4, 10) (dual of [(4194520, 4), 16777973, 11]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3107, 4194520, F3, 2, 10) (dual of [(4194520, 2), 8388933, 11]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(316, 219, F3, 2, 5) (dual of [(219, 2), 422, 6]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(316, 219, F3, 5) (dual of [219, 203, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(316, 242, F3, 5) (dual of [242, 226, 6]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [0,4], and designed minimum distance d ≥ |I|+1 = 6 [i]
- discarding factors / shortening the dual code based on linear OA(316, 242, F3, 5) (dual of [242, 226, 6]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(316, 219, F3, 5) (dual of [219, 203, 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(316, 219, F3, 2, 5) (dual of [(219, 2), 422, 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.