Information on Result #1713902
Digital (175, 192, 2097220)-net over F3, using net defined by OOA based on linear OOA(3192, 2097220, F3, 20, 17) (dual of [(2097220, 20), 41944208, 18]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(3192, 4194441, F3, 4, 17) (dual of [(4194441, 4), 16777572, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3192, 4194442, F3, 4, 17) (dual of [(4194442, 4), 16777576, 18]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3192, 4194442, F3, 2, 17) (dual of [(4194442, 2), 8388692, 18]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(326, 141, F3, 2, 8) (dual of [(141, 2), 256, 9]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(326, 141, F3, 8) (dual of [141, 115, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(326, 242, F3, 8) (dual of [242, 216, 9]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(326, 242, F3, 8) (dual of [242, 216, 9]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(326, 141, F3, 8) (dual of [141, 115, 9]-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
- linear OOA(326, 141, F3, 2, 8) (dual of [(141, 2), 256, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3192, 4194442, F3, 2, 17) (dual of [(4194442, 2), 8388692, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3192, 4194442, F3, 4, 17) (dual of [(4194442, 4), 16777576, 18]-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, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.