Information on Result #1718332
Digital (98, 116, 16050)-net over F4, using net defined by OOA based on linear OOA(4116, 16050, F4, 21, 18) (dual of [(16050, 21), 336934, 19]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(4116, 48151, F4, 3, 18) (dual of [(48151, 3), 144337, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4116, 48152, F4, 3, 18) (dual of [(48152, 3), 144340, 19]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4116, 48152, F4, 18) (dual of [48152, 48036, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(4116, 65551, F4, 18) (dual of [65551, 65435, 19]-code), using
- (u, u+v)-construction [i] based on
- linear OA(411, 15, F4, 9) (dual of [15, 4, 10]-code), using
- linear OA(4105, 65536, F4, 18) (dual of [65536, 65431, 19]-code), using
- an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OA(4116, 65551, F4, 18) (dual of [65551, 65435, 19]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4116, 48152, F4, 18) (dual of [48152, 48036, 19]-code), using
- discarding factors / shortening the dual code based on linear OOA(4116, 48152, F4, 3, 18) (dual of [(48152, 3), 144340, 19]-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.