Information on Result #1722870
Digital (66, 83, 3541)-net over F5, using net defined by OOA based on linear OOA(583, 3541, F5, 21, 17) (dual of [(3541, 21), 74278, 18]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(583, 10624, F5, 3, 17) (dual of [(10624, 3), 31789, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(583, 10625, F5, 3, 17) (dual of [(10625, 3), 31792, 18]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(583, 10625, F5, 17) (dual of [10625, 10542, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(583, 15647, F5, 17) (dual of [15647, 15564, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(12) [i] based on
- linear OA(579, 15625, F5, 17) (dual of [15625, 15546, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(561, 15625, F5, 13) (dual of [15625, 15564, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(54, 22, F5, 3) (dual of [22, 18, 4]-code or 22-cap in PG(3,5)), using
- construction X applied to Ce(16) ⊂ Ce(12) [i] based on
- discarding factors / shortening the dual code based on linear OA(583, 15647, F5, 17) (dual of [15647, 15564, 18]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(583, 10625, F5, 17) (dual of [10625, 10542, 18]-code), using
- discarding factors / shortening the dual code based on linear OOA(583, 10625, F5, 3, 17) (dual of [(10625, 3), 31792, 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.