Information on Result #1714602
Digital (213, 233, 2664596)-net over F3, using net defined by OOA based on linear OOA(3233, 2664596, F3, 25, 20) (dual of [(2664596, 25), 66614667, 21]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(3233, 5329193, F3, 5, 20) (dual of [(5329193, 5), 26645732, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3233, 5329194, F3, 5, 20) (dual of [(5329194, 5), 26645737, 21]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3233, 5329194, F3, 20) (dual of [5329194, 5328961, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(3233, large, F3, 20) (dual of [large, large−233, 21]-code), using
- 37 times code embedding in larger space [i] based on linear OA(3196, large, F3, 20) (dual of [large, large−196, 21]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21 [i]
- 37 times code embedding in larger space [i] based on linear OA(3196, large, F3, 20) (dual of [large, large−196, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(3233, large, F3, 20) (dual of [large, large−233, 21]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3233, 5329194, F3, 20) (dual of [5329194, 5328961, 21]-code), using
- discarding factors / shortening the dual code based on linear OOA(3233, 5329194, F3, 5, 20) (dual of [(5329194, 5), 26645737, 21]-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.