Information on Result #2246566
Linear OA(552, 15646, F5, 10) (dual of [15646, 15594, 11]-code), using 1 times truncation based on linear OA(553, 15647, F5, 11) (dual of [15647, 15594, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(6) [i] based on
- linear OA(549, 15625, F5, 11) (dual of [15625, 15576, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(531, 15625, F5, 7) (dual of [15625, 15594, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [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(552, 15646, F5, 2, 10) (dual of [(15646, 2), 31240, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(552, 15646, F5, 3, 10) (dual of [(15646, 3), 46886, 11]-NRT-code) | [i] | ||
| 3 | Digital (42, 52, 15646)-net over F5 | [i] | ||
| 4 | Linear OOA(552, 7823, F5, 2, 10) (dual of [(7823, 2), 15594, 11]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(552, 5215, F5, 3, 10) (dual of [(5215, 3), 15593, 11]-NRT-code) | [i] | ||
| 6 | Linear OOA(552, 3129, F5, 10, 10) (dual of [(3129, 10), 31238, 11]-NRT-code) | [i] | OA Folding and Stacking | |