Information on Result #2253210
Linear OA(941, 59054, F9, 9) (dual of [59054, 59013, 10]-code), using 1 times truncation based on linear OA(942, 59055, F9, 10) (dual of [59055, 59013, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(7) [i] 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(936, 59049, F9, 8) (dual of [59049, 59013, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(91, 6, F9, 1) (dual of [6, 5, 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(941, 59054, F9, 2, 9) (dual of [(59054, 2), 118067, 10]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(941, 59054, F9, 3, 9) (dual of [(59054, 3), 177121, 10]-NRT-code) | [i] | ||
| 3 | Digital (32, 41, 59054)-net over F9 | [i] | ||
| 4 | Linear OOA(941, 29527, F9, 2, 9) (dual of [(29527, 2), 59013, 10]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(941, 19684, F9, 3, 9) (dual of [(19684, 3), 59011, 10]-NRT-code) | [i] | ||
| 6 | Linear OOA(941, 14763, F9, 9, 9) (dual of [(14763, 9), 132826, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |