Information on Result #1723196
Digital (87, 106, 13021)-net over F5, using net defined by OOA based on linear OOA(5106, 13021, F5, 21, 19) (dual of [(13021, 21), 273335, 20]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(5106, 39064, F5, 3, 19) (dual of [(39064, 3), 117086, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5106, 39066, F5, 3, 19) (dual of [(39066, 3), 117092, 20]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(5106, 39066, F5, 2, 19) (dual of [(39066, 2), 78026, 20]-NRT-code), using
- OOA 2-folding [i] based on linear OA(5106, 78132, F5, 19) (dual of [78132, 78026, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- linear OA(5106, 78125, F5, 19) (dual of [78125, 78019, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(599, 78125, F5, 18) (dual of [78125, 78026, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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(18) ⊂ Ce(17) [i] based on
- OOA 2-folding [i] based on linear OA(5106, 78132, F5, 19) (dual of [78132, 78026, 20]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(5106, 39066, F5, 2, 19) (dual of [(39066, 2), 78026, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5106, 39066, F5, 3, 19) (dual of [(39066, 3), 117092, 20]-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.