Information on Result #689354
Linear OA(942, 59055, F9, 10) (dual of [59055, 59013, 11]-code), using construction X applied to Ce(9) ⊂ Ce(7) 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 OA(941, 59054, F9, 9) (dual of [59054, 59013, 10]-code) | [i] | Truncation | |
| 2 | Linear OOA(942, 36563, F9, 2, 10) (dual of [(36563, 2), 73084, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(942, 36563, F9, 3, 10) (dual of [(36563, 3), 109647, 11]-NRT-code) | [i] | ||
| 4 | Digital (32, 42, 36563)-net over F9 | [i] | ||
| 5 | Linear OOA(942, 29527, F9, 2, 10) (dual of [(29527, 2), 59012, 11]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(942, 19685, F9, 3, 10) (dual of [(19685, 3), 59013, 11]-NRT-code) | [i] | ||
| 7 | Linear OOA(942, 11811, F9, 10, 10) (dual of [(11811, 10), 118068, 11]-NRT-code) | [i] | OA Folding and Stacking | |