Information on Result #1717608
Digital (91, 102, 3945034)-net over F4, using net defined by OOA based on linear OOA(4102, 3945034, F4, 15, 11) (dual of [(3945034, 15), 59175408, 12]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(4102, 7890069, F4, 3, 11) (dual of [(7890069, 3), 23670105, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4102, 7890070, F4, 3, 11) (dual of [(7890070, 3), 23670108, 12]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4102, 7890070, F4, 11) (dual of [7890070, 7889968, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(4102, large, F4, 11) (dual of [large, large−102, 12]-code), using
- 5 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]
- 5 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(4102, large, F4, 11) (dual of [large, large−102, 12]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4102, 7890070, F4, 11) (dual of [7890070, 7889968, 12]-code), using
- discarding factors / shortening the dual code based on linear OOA(4102, 7890070, F4, 3, 11) (dual of [(7890070, 3), 23670108, 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.