Information on Result #737482
Linear OA(572, 390664, F5, 11) (dual of [390664, 390592, 12]-code), using construction X applied to Ce(10) ⊂ Ce(5) based on
- linear OA(565, 390625, F5, 11) (dual of [390625, 390560, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(533, 390625, F5, 6) (dual of [390625, 390592, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(57, 39, F5, 4) (dual of [39, 32, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(57, 44, F5, 4) (dual of [44, 37, 5]-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 OA(571, 390663, F5, 10) (dual of [390663, 390592, 11]-code) | [i] | Truncation | |
| 2 | Linear OOA(572, 195332, F5, 2, 11) (dual of [(195332, 2), 390592, 12]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(572, 130221, F5, 3, 11) (dual of [(130221, 3), 390591, 12]-NRT-code) | [i] | ||
| 4 | Linear OOA(572, 78132, F5, 11, 11) (dual of [(78132, 11), 859380, 12]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |