Information on Result #737586
Linear OA(584, 15666, F5, 16) (dual of [15666, 15582, 17]-code), using construction X applied to Ce(15) ⊂ Ce(8) based on
- linear OA(573, 15625, F5, 16) (dual of [15625, 15552, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- 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(511, 41, F5, 6) (dual of [41, 30, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(511, 45, F5, 6) (dual of [45, 34, 7]-code), 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(584, 15666, F5, 2, 16) (dual of [(15666, 2), 31248, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(584, 15666, F5, 3, 16) (dual of [(15666, 3), 46914, 17]-NRT-code) | [i] | ||
| 3 | Digital (68, 84, 15666)-net over F5 | [i] | ||
| 4 | Linear OOA(584, 7833, F5, 2, 16) (dual of [(7833, 2), 15582, 17]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(584, 5222, F5, 3, 16) (dual of [(5222, 3), 15582, 17]-NRT-code) | [i] | ||
| 6 | Linear OOA(584, 1958, F5, 16, 16) (dual of [(1958, 16), 31244, 17]-NRT-code) | [i] | OA Folding and Stacking | |