Information on Result #1718302
Digital (81, 99, 3676)-net over F4, using net defined by OOA based on linear OOA(499, 3676, F4, 21, 18) (dual of [(3676, 21), 77097, 19]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(499, 11029, F4, 3, 18) (dual of [(11029, 3), 32988, 19]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(499, 11029, F4, 18) (dual of [11029, 10930, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(499, 16419, F4, 18) (dual of [16419, 16320, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(12) [i] based on
- linear OA(492, 16384, F4, 18) (dual of [16384, 16292, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(464, 16384, F4, 13) (dual of [16384, 16320, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(47, 35, F4, 4) (dual of [35, 28, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
- construction X applied to Ce(17) ⊂ Ce(12) [i] based on
- discarding factors / shortening the dual code based on linear OA(499, 16419, F4, 18) (dual of [16419, 16320, 19]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(499, 11029, F4, 18) (dual of [11029, 10930, 19]-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.