Information on Result #683014
Linear OA(532, 3136, F5, 8) (dual of [3136, 3104, 9]-code), using construction X applied to Ce(7) ⊂ Ce(5) based on
- linear OA(531, 3125, F5, 8) (dual of [3125, 3094, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(521, 3125, F5, 6) (dual of [3125, 3104, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(51, 11, F5, 1) (dual of [11, 10, 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
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(532, 3055, F5, 2, 8) (dual of [(3055, 2), 6078, 9]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(532, 3055, F5, 3, 8) (dual of [(3055, 3), 9133, 9]-NRT-code) | [i] | ||
| 3 | Digital (24, 32, 3055)-net over F5 | [i] | ||
| 4 | Linear OOA(532, 1568, F5, 2, 8) (dual of [(1568, 2), 3104, 9]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(532, 1045, F5, 3, 8) (dual of [(1045, 3), 3103, 9]-NRT-code) | [i] | ||
| 6 | Linear OOA(532, 784, F5, 8, 8) (dual of [(784, 8), 6240, 9]-NRT-code) | [i] | OA Folding and Stacking | |