Information on Result #1722744
Digital (73, 89, 13024)-net over F5, using net defined by OOA based on linear OOA(589, 13024, F5, 21, 16) (dual of [(13024, 21), 273415, 17]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(589, 39073, F5, 3, 16) (dual of [(39073, 3), 117130, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(589, 39075, F5, 3, 16) (dual of [(39075, 3), 117136, 17]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(589, 39075, F5, 2, 16) (dual of [(39075, 2), 78061, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(589, 78150, F5, 16) (dual of [78150, 78061, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(11) [i] based on
- linear OA(585, 78125, F5, 16) (dual of [78125, 78040, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(564, 78125, F5, 12) (dual of [78125, 78061, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(54, 25, F5, 3) (dual of [25, 21, 4]-code or 25-cap in PG(3,5)), using
- construction X applied to Ce(15) ⊂ Ce(11) [i] based on
- OOA 2-folding [i] based on linear OA(589, 78150, F5, 16) (dual of [78150, 78061, 17]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(589, 39075, F5, 2, 16) (dual of [(39075, 2), 78061, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(589, 39075, F5, 3, 16) (dual of [(39075, 3), 117136, 17]-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.