Information on Result #1723722
Digital (97, 120, 3917)-net over F5, using net defined by OOA based on linear OOA(5120, 3917, F5, 27, 23) (dual of [(3917, 27), 105639, 24]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(5120, 15669, F5, 3, 23) (dual of [(15669, 3), 46887, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5120, 15670, F5, 3, 23) (dual of [(15670, 3), 46890, 24]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5120, 15670, F5, 23) (dual of [15670, 15550, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(15) [i] based on
- linear OA(5109, 15625, F5, 23) (dual of [15625, 15516, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(573, 15625, F5, 16) (dual of [15625, 15552, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(511, 45, F5, 6) (dual of [45, 34, 7]-code), using
- construction X applied to Ce(22) ⊂ Ce(15) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5120, 15670, F5, 23) (dual of [15670, 15550, 24]-code), using
- discarding factors / shortening the dual code based on linear OOA(5120, 15670, F5, 3, 23) (dual of [(15670, 3), 46890, 24]-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.