Information on Result #689573
Linear OA(956, 59070, F9, 12) (dual of [59070, 59014, 13]-code), using construction XX applied to Ce(11) ⊂ Ce(7) ⊂ Ce(6) based on
- linear OA(951, 59049, F9, 12) (dual of [59049, 58998, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [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(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(94, 20, F9, 3) (dual of [20, 16, 4]-code or 20-cap in PG(3,9)), using
- linear OA(90, 1, F9, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
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(956, 59070, F9, 2, 12) (dual of [(59070, 2), 118084, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(956, 59070, F9, 3, 12) (dual of [(59070, 3), 177154, 13]-NRT-code) | [i] | ||
| 3 | Digital (44, 56, 59070)-net over F9 | [i] | ||
| 4 | Linear OOA(956, 29535, F9, 2, 12) (dual of [(29535, 2), 59014, 13]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(956, 19690, F9, 3, 12) (dual of [(19690, 3), 59014, 13]-NRT-code) | [i] | ||
| 6 | Linear OOA(956, 9845, F9, 12, 12) (dual of [(9845, 12), 118084, 13]-NRT-code) | [i] | OA Folding and Stacking | |