Information on Result #683037
Linear OA(565, 3144, F5, 16) (dual of [3144, 3079, 17]-code), using construction X applied to Ce(15) ⊂ Ce(11) based on
- linear OA(561, 3125, F5, 16) (dual of [3125, 3064, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(546, 3125, F5, 12) (dual of [3125, 3079, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(54, 19, F5, 3) (dual of [19, 15, 4]-code or 19-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 OA(564, 3143, F5, 15) (dual of [3143, 3079, 16]-code) | [i] | Truncation | |
| 2 | Linear OOA(565, 2360, F5, 2, 16) (dual of [(2360, 2), 4655, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(565, 2360, F5, 3, 16) (dual of [(2360, 3), 7015, 17]-NRT-code) | [i] | ||
| 4 | Digital (49, 65, 2360)-net over F5 | [i] | ||
| 5 | Linear OOA(565, 1572, F5, 2, 16) (dual of [(1572, 2), 3079, 17]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(565, 1048, F5, 3, 16) (dual of [(1048, 3), 3079, 17]-NRT-code) | [i] | ||
| 7 | Linear OOA(565, 393, F5, 16, 16) (dual of [(393, 16), 6223, 17]-NRT-code) | [i] | OA Folding and Stacking | |