Information on Result #737480
Linear OA(588, 390664, F5, 13) (dual of [390664, 390576, 14]-code), using construction X applied to Ce(12) ⊂ Ce(7) based on
- linear OA(581, 390625, F5, 13) (dual of [390625, 390544, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(549, 390625, F5, 8) (dual of [390625, 390576, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [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 OOA(588, 390664, F5, 2, 13) (dual of [(390664, 2), 781240, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(588, 390664, F5, 3, 13) (dual of [(390664, 3), 1171904, 14]-NRT-code) | [i] | ||
| 3 | Digital (75, 88, 390664)-net over F5 | [i] | ||
| 4 | Linear OA(589, 390666, F5, 13) (dual of [390666, 390577, 14]-code) | [i] | Construction X with Varšamov Bound | |
| 5 | Linear OOA(588, 195332, F5, 2, 13) (dual of [(195332, 2), 390576, 14]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(588, 130221, F5, 3, 13) (dual of [(130221, 3), 390575, 14]-NRT-code) | [i] | ||
| 7 | Linear OOA(588, 65110, F5, 13, 13) (dual of [(65110, 13), 846342, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |