Information on Result #1323840
Linear OA(9130, 59088, F9, 28) (dual of [59088, 58958, 29]-code), using construction X applied to Ce(27) ⊂ Ce(20) based on
- linear OA(9121, 59049, F9, 28) (dual of [59049, 58928, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- 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(99, 39, F9, 6) (dual of [39, 30, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(99, 41, F9, 6) (dual of [41, 32, 7]-code), using
- a “GraCyc†code from Grassl’s database [i]
- discarding factors / shortening the dual code based on linear OA(99, 41, F9, 6) (dual of [41, 32, 7]-code), using
Mode: 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(9130, 59088, F9, 2, 28) (dual of [(59088, 2), 118046, 29]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(9130, 59088, F9, 3, 28) (dual of [(59088, 3), 177134, 29]-NRT-code) | [i] | ||
| 3 | Digital (102, 130, 59088)-net over F9 | [i] | ||
| 4 | Linear OA(9131, 59090, F9, 28) (dual of [59090, 58959, 29]-code) | [i] | Construction X with Varšamov Bound | |
| 5 | Linear OOA(9130, 29544, F9, 2, 28) (dual of [(29544, 2), 58958, 29]-NRT-code) | [i] | OOA Folding | |