Information on Result #1722888
Digital (77, 94, 13022)-net over F5, using net defined by OOA based on linear OOA(594, 13022, F5, 21, 17) (dual of [(13022, 21), 273368, 18]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(594, 39067, F5, 3, 17) (dual of [(39067, 3), 117107, 18]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(594, 39067, F5, 2, 17) (dual of [(39067, 2), 78040, 18]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(592, 39066, F5, 2, 17) (dual of [(39066, 2), 78040, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(592, 78132, F5, 17) (dual of [78132, 78040, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
- linear OA(592, 78125, F5, 17) (dual of [78125, 78033, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- 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(50, 7, F5, 0) (dual of [7, 7, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
- OOA 2-folding [i] based on linear OA(592, 78132, F5, 17) (dual of [78132, 78040, 18]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(592, 39066, F5, 2, 17) (dual of [(39066, 2), 78040, 18]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(594, 39067, F5, 2, 17) (dual of [(39067, 2), 78040, 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.