Information on Result #1188562
Digital (47, 58, 15626)-net over F5, using net defined by OOA based on linear OOA(558, 15626, F5, 11, 11) (dual of [(15626, 11), 171828, 12]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OA(558, 78131, F5, 11) (dual of [78131, 78073, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(558, 78133, F5, 11) (dual of [78133, 78075, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(8) [i] based on
- linear OA(557, 78125, F5, 11) (dual of [78125, 78068, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(550, 78125, F5, 9) (dual of [78125, 78075, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(51, 8, F5, 1) (dual of [8, 7, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(10) ⊂ Ce(8) [i] based on
- discarding factors / shortening the dual code based on linear OA(558, 78133, F5, 11) (dual of [78133, 78075, 12]-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 (48, 59, 15626)-net over F5 | [i] | Net Duplication | |