Information on Result #1723118
Digital (130, 148, 1496729)-net over F5, using net defined by OOA based on linear OOA(5148, 1496729, F5, 21, 18) (dual of [(1496729, 21), 31431161, 19]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(5148, 4490188, F5, 3, 18) (dual of [(4490188, 3), 13470416, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5148, 4490189, F5, 3, 18) (dual of [(4490189, 3), 13470419, 19]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5148, 4490189, F5, 18) (dual of [4490189, 4490041, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(5148, large, F5, 18) (dual of [large, large−148, 19]-code), using
- 7 times code embedding in larger space [i] based on linear OA(5141, large, F5, 18) (dual of [large, large−141, 19]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 510−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [i]
- 7 times code embedding in larger space [i] based on linear OA(5141, large, F5, 18) (dual of [large, large−141, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(5148, large, F5, 18) (dual of [large, large−148, 19]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5148, 4490189, F5, 18) (dual of [4490189, 4490041, 19]-code), using
- discarding factors / shortening the dual code based on linear OOA(5148, 4490189, F5, 3, 18) (dual of [(4490189, 3), 13470419, 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.