Information on Result #1731694
Digital (90, 107, 1482068)-net over F9, using net defined by OOA based on linear OOA(9107, 1482068, F9, 21, 17) (dual of [(1482068, 21), 31123321, 18]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(9107, 4446205, F9, 3, 17) (dual of [(4446205, 3), 13338508, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(9107, 4446206, F9, 3, 17) (dual of [(4446206, 3), 13338511, 18]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9107, 4446206, F9, 17) (dual of [4446206, 4446099, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(9107, 4782984, F9, 17) (dual of [4782984, 4782877, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(14) [i] based on
- linear OA(9106, 4782969, F9, 17) (dual of [4782969, 4782863, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(992, 4782969, F9, 15) (dual of [4782969, 4782877, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(91, 15, F9, 1) (dual of [15, 14, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, s, F9, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(16) ⊂ Ce(14) [i] based on
- discarding factors / shortening the dual code based on linear OA(9107, 4782984, F9, 17) (dual of [4782984, 4782877, 18]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9107, 4446206, F9, 17) (dual of [4446206, 4446099, 18]-code), using
- discarding factors / shortening the dual code based on linear OOA(9107, 4446206, F9, 3, 17) (dual of [(4446206, 3), 13338511, 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.