Information on Result #615776
Linear OA(9116, 59049, F9, 26) (dual of [59049, 58933, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26
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(9129, 59063, F9, 26) (dual of [59063, 58934, 27]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(9130, 59065, F9, 26) (dual of [59065, 58935, 27]-code) | [i] | ||
| 3 | Linear OA(9131, 59069, F9, 26) (dual of [59069, 58938, 27]-code) | [i] | ||
| 4 | Linear OA(9132, 59077, F9, 26) (dual of [59077, 58945, 27]-code) | [i] | ||
| 5 | Linear OA(9133, 59079, F9, 26) (dual of [59079, 58946, 27]-code) | [i] | ||
| 6 | Linear OA(9134, 59081, F9, 26) (dual of [59081, 58947, 27]-code) | [i] | ||
| 7 | Linear OA(9135, 59084, F9, 26) (dual of [59084, 58949, 27]-code) | [i] | ||
| 8 | Linear OA(9137, 59090, F9, 26) (dual of [59090, 58953, 27]-code) | [i] | ||
| 9 | Linear OA(9138, 59130, F9, 26) (dual of [59130, 58992, 27]-code) | [i] | ||
| 10 | Linear OA(9136, 59070, F9, 26) (dual of [59070, 58934, 27]-code) | [i] | Generalized (u, u+v)-Construction | |
| 11 | Linear OA(9138, 59073, F9, 26) (dual of [59073, 58935, 27]-code) | [i] | ||
| 12 | Linear OOA(9116, 45767, F9, 2, 26) (dual of [(45767, 2), 91418, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 13 | Linear OOA(9116, 45767, F9, 3, 26) (dual of [(45767, 3), 137185, 27]-NRT-code) | [i] | ||
| 14 | Digital (90, 116, 45767)-net over F9 | [i] | ||
| 15 | Linear OA(9133, 59067, F9, 26) (dual of [59067, 58934, 27]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 16 | Linear OA(9134, 59069, F9, 26) (dual of [59069, 58935, 27]-code) | [i] | ||
| 17 | Linear OA(9137, 59073, F9, 26) (dual of [59073, 58936, 27]-code) | [i] | ||
| 18 | Linear OA(9138, 59077, F9, 26) (dual of [59077, 58939, 27]-code) | [i] | ||
| 19 | Linear OA(9122, 59055, F9, 28) (dual of [59055, 58933, 29]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 20 | Linear OA(9116, 59054, F9, 26) (dual of [59054, 58938, 27]-code) | [i] | ✔ | |
| 21 | Linear OA(9128, 59059, F9, 29) (dual of [59059, 58931, 30]-code) | [i] | ✔ | |
| 22 | Linear OA(9129, 59062, F9, 29) (dual of [59062, 58933, 30]-code) | [i] | ✔ | |
| 23 | Linear OA(9117, 59060, F9, 26) (dual of [59060, 58943, 27]-code) | [i] | ✔ | |
| 24 | Linear OA(9135, 59068, F9, 30) (dual of [59068, 58933, 31]-code) | [i] | ✔ | |
| 25 | Linear OA(9119, 59067, F9, 26) (dual of [59067, 58948, 27]-code) | [i] | ✔ | |
| 26 | Linear OA(9142, 59075, F9, 31) (dual of [59075, 58933, 32]-code) | [i] | ✔ | |
| 27 | Linear OA(9120, 59073, F9, 26) (dual of [59073, 58953, 27]-code) | [i] | ✔ | |
| 28 | Linear OA(9148, 59081, F9, 32) (dual of [59081, 58933, 33]-code) | [i] | ✔ | |
| 29 | Linear OA(9122, 59080, F9, 26) (dual of [59080, 58958, 27]-code) | [i] | ✔ | |
| 30 | Linear OA(9123, 59086, F9, 26) (dual of [59086, 58963, 27]-code) | [i] | ✔ | |
| 31 | Linear OA(9126, 59090, F9, 26) (dual of [59090, 58964, 27]-code) | [i] | ✔ | |
| 32 | Linear OA(9127, 59095, F9, 26) (dual of [59095, 58968, 27]-code) | [i] | ✔ | |
| 33 | Linear OA(9131, 59104, F9, 26) (dual of [59104, 58973, 27]-code) | [i] | ✔ | |
| 34 | Linear OA(9132, 59110, F9, 26) (dual of [59110, 58978, 27]-code) | [i] | ✔ | |
| 35 | Linear OA(9133, 59116, F9, 26) (dual of [59116, 58983, 27]-code) | [i] | ✔ | |
| 36 | Linear OA(9134, 59122, F9, 26) (dual of [59122, 58988, 27]-code) | [i] | ✔ | |
| 37 | Linear OA(9136, 59129, F9, 26) (dual of [59129, 58993, 27]-code) | [i] | ✔ | |
| 38 | Linear OA(9126, 59091, F9, 26) (dual of [59091, 58965, 27]-code) | [i] | ✔ | |
| 39 | Linear OA(9126, 59094, F9, 26) (dual of [59094, 58968, 27]-code) | [i] | ✔ | |
| 40 | Linear OA(9147, 59076, F9, 32) (dual of [59076, 58929, 33]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 41 | Linear OA(9141, 59070, F9, 31) (dual of [59070, 58929, 32]-code) | [i] | ✔ | |
| 42 | Linear OA(9134, 59063, F9, 30) (dual of [59063, 58929, 31]-code) | [i] | ✔ | |
| 43 | Linear OA(9136, 59070, F9, 30) (dual of [59070, 58934, 31]-code) | [i] | ✔ | |
| 44 | Linear OA(9118, 59062, F9, 26) (dual of [59062, 58944, 27]-code) | [i] | ✔ | |
| 45 | Linear OA(9121, 59075, F9, 26) (dual of [59075, 58954, 27]-code) | [i] | ✔ | |
| 46 | Linear OOA(9116, 4542, F9, 26, 26) (dual of [(4542, 26), 117976, 27]-NRT-code) | [i] | OA Folding and Stacking | |