Information on Result #682249
Linear OA(5145, 390633, F5, 23) (dual of [390633, 390488, 24]-code), using construction X applied to Ce(22) ⊂ Ce(21) based on
- linear OA(5145, 390625, F5, 23) (dual of [390625, 390480, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(5137, 390625, F5, 22) (dual of [390625, 390488, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(50, 8, F5, 0) (dual of [8, 8, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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(5145, 195316, F5, 2, 23) (dual of [(195316, 2), 390487, 24]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(5145, 130211, F5, 3, 23) (dual of [(130211, 3), 390488, 24]-NRT-code) | [i] | ||
| 3 | Linear OOA(5145, 35512, F5, 23, 23) (dual of [(35512, 23), 816631, 24]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |