Information on Result #682703
Linear OA(553, 15647, F5, 11) (dual of [15647, 15594, 12]-code), using construction X applied to Ce(10) ⊂ Ce(6) 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 OA(552, 15646, F5, 10) (dual of [15646, 15594, 11]-code) | [i] | Truncation | |
| 2 | Linear OOA(553, 7823, F5, 2, 11) (dual of [(7823, 2), 15593, 12]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(553, 5215, F5, 3, 11) (dual of [(5215, 3), 15592, 12]-NRT-code) | [i] | ||
| 4 | Linear OOA(553, 3129, F5, 11, 11) (dual of [(3129, 11), 34366, 12]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |