Information on Result #1193894
Digital (88, 103, 683288)-net over F9, using net defined by OOA based on linear OOA(9103, 683288, F9, 15, 15) (dual of [(683288, 15), 10249217, 16]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(9103, 4783017, F9, 15) (dual of [4783017, 4782914, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(9103, 4783022, F9, 15) (dual of [4783022, 4782919, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(7) [i] based on
- linear OA(992, 4782969, F9, 15) (dual of [4782969, 4782877, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(950, 4782969, F9, 8) (dual of [4782969, 4782919, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(911, 53, F9, 6) (dual of [53, 42, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(911, 80, F9, 6) (dual of [80, 69, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(911, 80, F9, 6) (dual of [80, 69, 7]-code), using
- construction X applied to Ce(14) ⊂ Ce(7) [i] based on
- discarding factors / shortening the dual code based on linear OA(9103, 4783022, F9, 15) (dual of [4783022, 4782919, 16]-code), using
Mode: Constructive and 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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (191, 206, 1366576)-net over F3 | [i] | Trace Code for Nets | |