Information on Result #689343
Linear OA(991, 59054, F9, 21) (dual of [59054, 58963, 22]-code), using construction X applied to Ce(20) ⊂ Ce(19) based on
- linear OA(991, 59049, F9, 21) (dual of [59049, 58958, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(986, 59049, F9, 20) (dual of [59049, 58963, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(90, 5, F9, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 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(9108, 59135, F9, 21) (dual of [59135, 59027, 22]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OOA(991, 29527, F9, 2, 21) (dual of [(29527, 2), 58963, 22]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(991, 19684, F9, 3, 21) (dual of [(19684, 3), 58961, 22]-NRT-code) | [i] | ||
| 4 | Linear OOA(991, 5905, F9, 21, 21) (dual of [(5905, 21), 123914, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |