Information on Result #1713092
Digital (123, 135, 2801175)-net over F3, using net defined by OOA based on linear OOA(3135, 2801175, F3, 15, 12) (dual of [(2801175, 15), 42017490, 13]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(3135, 5602351, F3, 3, 12) (dual of [(5602351, 3), 16806918, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3135, 5602352, F3, 3, 12) (dual of [(5602352, 3), 16806921, 13]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3135, 5602352, F3, 12) (dual of [5602352, 5602217, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(3135, large, F3, 12) (dual of [large, large−135, 13]-code), using
- 15 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]
- 15 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(3135, large, F3, 12) (dual of [large, large−135, 13]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3135, 5602352, F3, 12) (dual of [5602352, 5602217, 13]-code), using
- discarding factors / shortening the dual code based on linear OOA(3135, 5602352, F3, 3, 12) (dual of [(5602352, 3), 16806921, 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.