Information on Result #682698
Linear OA(577, 15647, F5, 16) (dual of [15647, 15570, 17]-code), using construction X applied to Ce(15) ⊂ Ce(11) 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(555, 15625, F5, 12) (dual of [15625, 15570, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [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 OA(576, 15646, F5, 15) (dual of [15646, 15570, 16]-code) | [i] | Truncation | |
| 2 | Linear OOA(577, 9405, F5, 2, 16) (dual of [(9405, 2), 18733, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(577, 9405, F5, 3, 16) (dual of [(9405, 3), 28138, 17]-NRT-code) | [i] | ||
| 4 | Digital (61, 77, 9405)-net over F5 | [i] | ||
| 5 | Linear OOA(577, 7823, F5, 2, 16) (dual of [(7823, 2), 15569, 17]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(577, 5215, F5, 3, 16) (dual of [(5215, 3), 15568, 17]-NRT-code) | [i] | ||