Information on Result #689436
Linear OA(997, 59075, F9, 21) (dual of [59075, 58978, 22]-code), using construction X applied to Ce(20) ⊂ Ce(15) based on
- linear OA(991, 59049, F9, 21) (dual of [59049, 58958, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [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(96, 26, F9, 4) (dual of [26, 20, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(96, 72, F9, 4) (dual of [72, 66, 5]-code), using
- 1 times truncation [i] based on linear OA(97, 73, F9, 5) (dual of [73, 66, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(96, 72, F9, 4) (dual of [72, 66, 5]-code), 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(997, 59075, F9, 2, 21) (dual of [(59075, 2), 118053, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(997, 59075, F9, 3, 21) (dual of [(59075, 3), 177128, 22]-NRT-code) | [i] | ||
| 3 | Digital (76, 97, 59075)-net over F9 | [i] | ||
| 4 | Linear OOA(997, 29537, F9, 2, 21) (dual of [(29537, 2), 58977, 22]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(997, 19691, F9, 3, 21) (dual of [(19691, 3), 58976, 22]-NRT-code) | [i] | ||
| 6 | Linear OOA(997, 5907, F9, 21, 21) (dual of [(5907, 21), 123950, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |