Information on Result #689558
Linear OA(991, 59070, F9, 20) (dual of [59070, 58979, 21]-code), using construction XX applied to Ce(19) ⊂ Ce(15) ⊂ Ce(14) based on
- 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(971, 59049, F9, 16) (dual of [59049, 58978, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [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(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(991, 55741, F9, 2, 20) (dual of [(55741, 2), 111391, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(991, 55741, F9, 3, 20) (dual of [(55741, 3), 167132, 21]-NRT-code) | [i] | ||
| 3 | Digital (71, 91, 55741)-net over F9 | [i] | ||
| 4 | Linear OOA(991, 29535, F9, 2, 20) (dual of [(29535, 2), 58979, 21]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(991, 19690, F9, 3, 20) (dual of [(19690, 3), 58979, 21]-NRT-code) | [i] | ||
| 6 | Linear OOA(991, 5907, F9, 20, 20) (dual of [(5907, 20), 118049, 21]-NRT-code) | [i] | OA Folding and Stacking | |