Information on Result #1713096
Digital (125, 137, 3489512)-net over F3, using net defined by OOA based on linear OOA(3137, 3489512, F3, 15, 12) (dual of [(3489512, 15), 52342543, 13]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(3137, 6979025, F3, 3, 12) (dual of [(6979025, 3), 20936938, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3137, 6979026, F3, 3, 12) (dual of [(6979026, 3), 20936941, 13]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3137, 6979026, F3, 12) (dual of [6979026, 6978889, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(3137, large, F3, 12) (dual of [large, large−137, 13]-code), using
- 17 times code embedding in larger space [i] based on linear OA(3120, large, F3, 12) (dual of [large, large−120, 13]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- 17 times code embedding in larger space [i] based on linear OA(3120, large, F3, 12) (dual of [large, large−120, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(3137, large, F3, 12) (dual of [large, large−137, 13]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3137, 6979026, F3, 12) (dual of [6979026, 6978889, 13]-code), using
- discarding factors / shortening the dual code based on linear OOA(3137, 6979026, F3, 3, 12) (dual of [(6979026, 3), 20936941, 13]-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.