Information on Result #1724140
Digital (100, 127, 1692)-net over F5, using net defined by OOA based on linear OOA(5127, 1692, F5, 33, 27) (dual of [(1692, 33), 55709, 28]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(5127, 8461, F5, 3, 27) (dual of [(8461, 3), 25256, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5127, 8462, F5, 3, 27) (dual of [(8462, 3), 25259, 28]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5127, 8462, F5, 27) (dual of [8462, 8335, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(5127, 15625, F5, 27) (dual of [15625, 15498, 28]-code), using
- an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- discarding factors / shortening the dual code based on linear OA(5127, 15625, F5, 27) (dual of [15625, 15498, 28]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5127, 8462, F5, 27) (dual of [8462, 8335, 28]-code), using
- discarding factors / shortening the dual code based on linear OOA(5127, 8462, F5, 3, 27) (dual of [(8462, 3), 25259, 28]-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.