Information on Result #1717498
Digital (79, 89, 2631468)-net over F4, using net defined by OOA based on linear OOA(489, 2631468, F4, 15, 10) (dual of [(2631468, 15), 39471931, 11]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(489, 5262937, F4, 3, 10) (dual of [(5262937, 3), 15788722, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(489, 5262938, F4, 3, 10) (dual of [(5262938, 3), 15788725, 11]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(489, 5262938, F4, 10) (dual of [5262938, 5262849, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(489, large, F4, 10) (dual of [large, large−89, 11]-code), using
- 4 times code embedding in larger space [i] based on linear OA(485, large, F4, 10) (dual of [large, large−85, 11]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- 4 times code embedding in larger space [i] based on linear OA(485, large, F4, 10) (dual of [large, large−85, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(489, large, F4, 10) (dual of [large, large−89, 11]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(489, 5262938, F4, 10) (dual of [5262938, 5262849, 11]-code), using
- discarding factors / shortening the dual code based on linear OOA(489, 5262938, F4, 3, 10) (dual of [(5262938, 3), 15788725, 11]-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.