Information on Result #689389
Linear OA(944, 59062, F9, 10) (dual of [59062, 59018, 11]-code), using construction X applied to Ce(9) ⊂ Ce(6) based on
- linear OA(941, 59049, F9, 10) (dual of [59049, 59008, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(931, 59049, F9, 7) (dual of [59049, 59018, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(93, 13, F9, 2) (dual of [13, 10, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(93, 80, F9, 2) (dual of [80, 77, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(93, 80, F9, 2) (dual of [80, 77, 3]-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(944, 59062, F9, 2, 10) (dual of [(59062, 2), 118080, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(944, 59062, F9, 3, 10) (dual of [(59062, 3), 177142, 11]-NRT-code) | [i] | ||
| 3 | Digital (34, 44, 59062)-net over F9 | [i] | ||
| 4 | Linear OOA(944, 29531, F9, 2, 10) (dual of [(29531, 2), 59018, 11]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(944, 19687, F9, 3, 10) (dual of [(19687, 3), 59017, 11]-NRT-code) | [i] | ||
| 6 | Linear OOA(944, 11812, F9, 10, 10) (dual of [(11812, 10), 118076, 11]-NRT-code) | [i] | OA Folding and Stacking | |