Information on Result #682697
Linear OA(583, 15647, F5, 17) (dual of [15647, 15564, 18]-code), using construction X applied to Ce(16) ⊂ Ce(12) based on
- linear OA(579, 15625, F5, 17) (dual of [15625, 15546, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(561, 15625, F5, 13) (dual of [15625, 15564, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(54, 22, F5, 3) (dual of [22, 18, 4]-code or 22-cap in PG(3,5)), 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(583, 10625, F5, 2, 17) (dual of [(10625, 2), 21167, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(583, 10625, F5, 3, 17) (dual of [(10625, 3), 31792, 18]-NRT-code) | [i] | ||
| 3 | Digital (66, 83, 10625)-net over F5 | [i] | ||
| 4 | Linear OOA(583, 7823, F5, 2, 17) (dual of [(7823, 2), 15563, 18]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(583, 5215, F5, 3, 17) (dual of [(5215, 3), 15562, 18]-NRT-code) | [i] | ||
| 6 | Linear OOA(583, 1955, F5, 17, 17) (dual of [(1955, 17), 33152, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |