Information on Result #720651
Linear OA(9100, 728, F9, 38) (dual of [728, 628, 39]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,37], and designed minimum distance d ≥ |I|+1 = 39
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
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(9132, 775, F9, 44) (dual of [775, 643, 45]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(9103, 734, F9, 39) (dual of [734, 631, 40]-code) | [i] | ✔ | |
| 3 | Linear OA(9147, 789, F9, 47) (dual of [789, 642, 48]-code) | [i] | ✔ | |
| 4 | Linear OA(9137, 778, F9, 45) (dual of [778, 641, 46]-code) | [i] | ✔ | |
| 5 | Linear OA(9118, 752, F9, 42) (dual of [752, 634, 43]-code) | [i] | ✔ | |
| 6 | Linear OA(9107, 738, F9, 40) (dual of [738, 631, 41]-code) | [i] | ✔ | |
| 7 | Linear OA(9147, 790, F9, 47) (dual of [790, 643, 48]-code) | [i] | ✔ | |
| 8 | Linear OA(9145, 785, F9, 47) (dual of [785, 640, 48]-code) | [i] | ✔ | |
| 9 | Linear OA(9144, 783, F9, 47) (dual of [783, 639, 48]-code) | [i] | ✔ | |
| 10 | Linear OA(9129, 766, F9, 44) (dual of [766, 637, 45]-code) | [i] | ✔ | |
| 11 | Linear OA(9112, 743, F9, 41) (dual of [743, 631, 42]-code) | [i] | ✔ | |
| 12 | Linear OA(9111, 741, F9, 41) (dual of [741, 630, 42]-code) | [i] | ✔ | |
| 13 | Linear OA(9143, 780, F9, 47) (dual of [780, 637, 48]-code) | [i] | ✔ | |
| 14 | Linear OA(9142, 778, F9, 47) (dual of [778, 636, 48]-code) | [i] | ✔ | |
| 15 | Linear OA(9134, 769, F9, 45) (dual of [769, 635, 46]-code) | [i] | ✔ | |
| 16 | Linear OA(9127, 761, F9, 44) (dual of [761, 634, 45]-code) | [i] | ✔ | |
| 17 | Linear OA(9116, 747, F9, 42) (dual of [747, 631, 43]-code) | [i] | ✔ | |
| 18 | Linear OA(9141, 774, F9, 47) (dual of [774, 633, 48]-code) | [i] | ✔ | |
| 19 | Linear OA(9133, 767, F9, 45) (dual of [767, 634, 46]-code) | [i] | ✔ | |
| 20 | Linear OA(9132, 764, F9, 45) (dual of [764, 632, 46]-code) | [i] | ✔ | |
| 21 | Linear OA(9121, 752, F9, 43) (dual of [752, 631, 44]-code) | [i] | ✔ | |
| 22 | Linear OA(9125, 756, F9, 44) (dual of [756, 631, 45]-code) | [i] | ✔ | |
| 23 | Linear OA(9131, 762, F9, 45) (dual of [762, 631, 46]-code) | [i] | ✔ | |
| 24 | Linear OA(9130, 759, F9, 45) (dual of [759, 629, 46]-code) | [i] | ✔ | |
| 25 | Linear OA(9106, 734, F9, 40) (dual of [734, 628, 41]-code) | [i] | ✔ | |
| 26 | Linear OA(9110, 738, F9, 41) (dual of [738, 628, 42]-code) | [i] | ✔ | |
| 27 | Linear OA(9114, 741, F9, 42) (dual of [741, 627, 43]-code) | [i] | ✔ | |
| 28 | Linear OA(9119, 747, F9, 43) (dual of [747, 628, 44]-code) | [i] | ✔ | |
| 29 | Linear OA(9124, 752, F9, 44) (dual of [752, 628, 45]-code) | [i] | ✔ | |
| 30 | Linear OA(9128, 756, F9, 45) (dual of [756, 628, 46]-code) | [i] | ✔ | |
| 31 | Linear OA(9114, 742, F9, 42) (dual of [742, 628, 43]-code) | [i] | ✔ | |
| 32 | Linear OA(9118, 745, F9, 43) (dual of [745, 627, 44]-code) | [i] | ✔ | |
| 33 | Linear OA(9123, 751, F9, 44) (dual of [751, 628, 45]-code) | [i] | ✔ | |
| 34 | Linear OA(9127, 751, F9, 45) (dual of [751, 624, 46]-code) | [i] | ✔ | |