Information on Result #1722108
Digital (44, 55, 7827)-net over F5, using net defined by OOA based on linear OOA(555, 7827, F5, 15, 11) (dual of [(7827, 15), 117350, 12]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(555, 15655, F5, 3, 11) (dual of [(15655, 3), 46910, 12]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(555, 15655, F5, 11) (dual of [15655, 15600, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(5) [i] based on
- linear OA(549, 15625, F5, 11) (dual of [15625, 15576, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(525, 15625, F5, 6) (dual of [15625, 15600, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(56, 30, F5, 4) (dual of [30, 24, 5]-code), using
- construction X applied to Ce(10) ⊂ Ce(5) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(555, 15655, F5, 11) (dual of [15655, 15600, 12]-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.