Information on Result #683455
Linear OA(537, 629, F5, 12) (dual of [629, 592, 13]-code), using construction X applied to Ce(11) ⊂ Ce(10) based on
- linear OA(537, 625, F5, 12) (dual of [625, 588, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(533, 625, F5, 11) (dual of [625, 592, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(50, 4, F5, 0) (dual of [4, 4, 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 OA(541, 651, F5, 12) (dual of [651, 610, 13]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(542, 676, F5, 12) (dual of [676, 634, 13]-code) | [i] | ||
| 3 | Linear OA(543, 722, F5, 12) (dual of [722, 679, 13]-code) | [i] | ||
| 4 | Linear OA(544, 797, F5, 12) (dual of [797, 753, 13]-code) | [i] | ||
| 5 | Linear OOA(537, 314, F5, 2, 12) (dual of [(314, 2), 591, 13]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(537, 209, F5, 3, 12) (dual of [(209, 3), 590, 13]-NRT-code) | [i] | ||