Information on Result #1188386
Digital (35, 44, 3909)-net over F5, using net defined by OOA based on linear OOA(544, 3909, F5, 9, 9) (dual of [(3909, 9), 35137, 10]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OA(544, 15637, F5, 9) (dual of [15637, 15593, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(544, 15638, F5, 9) (dual of [15638, 15594, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(6) [i] based on
- linear OA(543, 15625, F5, 9) (dual of [15625, 15582, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(531, 15625, F5, 7) (dual of [15625, 15594, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(51, 13, F5, 1) (dual of [13, 12, 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(8) ⊂ Ce(6) [i] based on
- discarding factors / shortening the dual code based on linear OA(544, 15638, F5, 9) (dual of [15638, 15594, 10]-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 (36, 45, 3909)-net over F5 | [i] | Net Duplication | |