Information on Result #1718412
Digital (157, 175, 2665004)-net over F4, using net defined by OOA based on linear OOA(4175, 2665004, F4, 21, 18) (dual of [(2665004, 21), 55964909, 19]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(4175, 7995013, F4, 3, 18) (dual of [(7995013, 3), 23984864, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4175, 7995014, F4, 3, 18) (dual of [(7995014, 3), 23984867, 19]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4175, 7995014, F4, 18) (dual of [7995014, 7994839, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(4175, large, F4, 18) (dual of [large, large−175, 19]-code), using
- 18 times code embedding in larger space [i] based on linear OA(4157, large, F4, 18) (dual of [large, large−157, 19]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [i]
- 18 times code embedding in larger space [i] based on linear OA(4157, large, F4, 18) (dual of [large, large−157, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(4175, large, F4, 18) (dual of [large, large−175, 19]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4175, 7995014, F4, 18) (dual of [7995014, 7994839, 19]-code), using
- discarding factors / shortening the dual code based on linear OOA(4175, 7995014, F4, 3, 18) (dual of [(7995014, 3), 23984867, 19]-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.