Information on Result #689380
Linear OA(977, 59060, F9, 17) (dual of [59060, 58983, 18]-code), using construction X applied to Ce(16) ⊂ Ce(14) based on
- linear OA(976, 59049, F9, 17) (dual of [59049, 58973, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(966, 59049, F9, 15) (dual of [59049, 58983, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(91, 11, F9, 1) (dual of [11, 10, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, s, F9, 1) (dual of [s, s−1, 2]-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 OOA(977, 54883, F9, 2, 17) (dual of [(54883, 2), 109689, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(977, 54883, F9, 3, 17) (dual of [(54883, 3), 164572, 18]-NRT-code) | [i] | ||
| 3 | Digital (60, 77, 54883)-net over F9 | [i] | ||
| 4 | Linear OOA(977, 29530, F9, 2, 17) (dual of [(29530, 2), 58983, 18]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(977, 19686, F9, 3, 17) (dual of [(19686, 3), 58981, 18]-NRT-code) | [i] | ||
| 6 | Linear OOA(977, 7382, F9, 17, 17) (dual of [(7382, 17), 125417, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |