Information on Result #1730412
Digital (128, 166, 4011)-net over F8, using net defined by OOA based on linear OOA(8166, 4011, F8, 45, 38) (dual of [(4011, 45), 180329, 39]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OOA(8166, 28078, F8, 3, 38) (dual of [(28078, 3), 84068, 39]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8166, 28084, F8, 3, 38) (dual of [(28084, 3), 84086, 39]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8166, 28084, F8, 38) (dual of [28084, 27918, 39]-code), using
- discarding factors / shortening the dual code based on linear OA(8166, 32768, F8, 38) (dual of [32768, 32602, 39]-code), using
- an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- discarding factors / shortening the dual code based on linear OA(8166, 32768, F8, 38) (dual of [32768, 32602, 39]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8166, 28084, F8, 38) (dual of [28084, 27918, 39]-code), using
- discarding factors / shortening the dual code based on linear OOA(8166, 28084, F8, 3, 38) (dual of [(28084, 3), 84086, 39]-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.