Information on Result #1717600
Digital (87, 98, 2130434)-net over F4, using net defined by OOA based on linear OOA(498, 2130434, F4, 15, 11) (dual of [(2130434, 15), 31956412, 12]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(498, 4260869, F4, 3, 11) (dual of [(4260869, 3), 12782509, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(498, 4260870, F4, 3, 11) (dual of [(4260870, 3), 12782512, 12]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(498, 4260870, F4, 11) (dual of [4260870, 4260772, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(498, large, F4, 11) (dual of [large, large−98, 12]-code), using
- 1 times code embedding in larger space [i] based on linear OA(497, large, F4, 11) (dual of [large, large−97, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 424−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- 1 times code embedding in larger space [i] based on linear OA(497, large, F4, 11) (dual of [large, large−97, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(498, large, F4, 11) (dual of [large, large−98, 12]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(498, 4260870, F4, 11) (dual of [4260870, 4260772, 12]-code), using
- discarding factors / shortening the dual code based on linear OOA(498, 4260870, F4, 3, 11) (dual of [(4260870, 3), 12782512, 12]-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.