Information on Result #737481
Linear OA(580, 390664, F5, 12) (dual of [390664, 390584, 13]-code), using construction X applied to Ce(11) ⊂ Ce(6) based on
- linear OA(573, 390625, F5, 12) (dual of [390625, 390552, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(541, 390625, F5, 7) (dual of [390625, 390584, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [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(581, 390666, F5, 12) (dual of [390666, 390585, 13]-code) | [i] | Construction X with Varšamov Bound | |
| 2 | Linear OOA(580, 195332, F5, 2, 12) (dual of [(195332, 2), 390584, 13]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(580, 130221, F5, 3, 12) (dual of [(130221, 3), 390583, 13]-NRT-code) | [i] | ||
| 4 | Linear OOA(580, 65110, F5, 12, 12) (dual of [(65110, 12), 781240, 13]-NRT-code) | [i] | OA Folding and Stacking | |