Information on Result #615895
Linear OA(9100, 729, F9, 38) (dual of [729, 629, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38
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(9103, 732, F9, 39) (dual of [732, 629, 40]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(9100, 732, F9, 38) (dual of [732, 632, 39]-code) | [i] | ✔ | |
| 3 | Linear OA(9107, 736, F9, 40) (dual of [736, 629, 41]-code) | [i] | ✔ | |
| 4 | Linear OA(9102, 737, F9, 38) (dual of [737, 635, 39]-code) | [i] | ✔ | |
| 5 | Linear OA(9111, 739, F9, 41) (dual of [739, 628, 42]-code) | [i] | ✔ | |
| 6 | Linear OA(9112, 741, F9, 41) (dual of [741, 629, 42]-code) | [i] | ✔ | |
| 7 | Linear OA(9103, 739, F9, 38) (dual of [739, 636, 39]-code) | [i] | ✔ | |
| 8 | Linear OA(9104, 742, F9, 38) (dual of [742, 638, 39]-code) | [i] | ✔ | |
| 9 | Linear OA(9116, 745, F9, 42) (dual of [745, 629, 43]-code) | [i] | ✔ | |
| 10 | Linear OA(9105, 745, F9, 38) (dual of [745, 640, 39]-code) | [i] | ✔ | |
| 11 | Linear OA(9106, 747, F9, 38) (dual of [747, 641, 39]-code) | [i] | ✔ | |
| 12 | Linear OA(9121, 750, F9, 43) (dual of [750, 629, 44]-code) | [i] | ✔ | |
| 13 | Linear OA(9107, 751, F9, 38) (dual of [751, 644, 39]-code) | [i] | ✔ | |
| 14 | Linear OA(9125, 754, F9, 44) (dual of [754, 629, 45]-code) | [i] | ✔ | |
| 15 | Linear OA(9109, 756, F9, 38) (dual of [756, 647, 39]-code) | [i] | ✔ | |
| 16 | Linear OA(9132, 759, F9, 46) (dual of [759, 627, 47]-code) | [i] | ✔ | |
| 17 | Linear OA(9133, 762, F9, 46) (dual of [762, 629, 47]-code) | [i] | ✔ | |
| 18 | Linear OA(9111, 759, F9, 38) (dual of [759, 648, 39]-code) | [i] | ✔ | |
| 19 | Linear OA(9112, 762, F9, 38) (dual of [762, 650, 39]-code) | [i] | ✔ | |
| 20 | Linear OA(9138, 767, F9, 47) (dual of [767, 629, 48]-code) | [i] | ✔ | |
| 21 | Linear OA(9114, 767, F9, 38) (dual of [767, 653, 39]-code) | [i] | ✔ | |
| 22 | Linear OA(9142, 769, F9, 48) (dual of [769, 627, 49]-code) | [i] | ✔ | |
| 23 | Linear OA(9143, 772, F9, 48) (dual of [772, 629, 49]-code) | [i] | ✔ | |
| 24 | Linear OA(9115, 769, F9, 38) (dual of [769, 654, 39]-code) | [i] | ✔ | |
| 25 | Linear OA(9116, 772, F9, 38) (dual of [772, 656, 39]-code) | [i] | ✔ | |
| 26 | Linear OA(9147, 776, F9, 49) (dual of [776, 629, 50]-code) | [i] | ✔ | |
| 27 | Linear OA(9118, 777, F9, 38) (dual of [777, 659, 39]-code) | [i] | ✔ | |
| 28 | Linear OA(9120, 782, F9, 38) (dual of [782, 662, 39]-code) | [i] | ✔ | |
| 29 | Linear OA(9122, 787, F9, 38) (dual of [787, 665, 39]-code) | [i] | ✔ | |
| 30 | Linear OA(9124, 792, F9, 38) (dual of [792, 668, 39]-code) | [i] | ✔ | |
| 31 | Linear OA(9137, 764, F9, 47) (dual of [764, 627, 48]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 32 | Linear OA(9131, 758, F9, 46) (dual of [758, 627, 47]-code) | [i] | ✔ | |
| 33 | Linear OA(9134, 764, F9, 46) (dual of [764, 630, 47]-code) | [i] | ✔ | |
| 34 | Linear OA(9127, 758, F9, 44) (dual of [758, 631, 45]-code) | [i] | ✔ | |
| 35 | Linear OA(9126, 756, F9, 44) (dual of [756, 630, 45]-code) | [i] | ✔ | |
| 36 | Linear OA(9117, 747, F9, 42) (dual of [747, 630, 43]-code) | [i] | ✔ | |
| 37 | Linear OA(9108, 753, F9, 38) (dual of [753, 645, 39]-code) | [i] | ✔ | |
| 38 | Linear OA(9110, 758, F9, 38) (dual of [758, 648, 39]-code) | [i] | ✔ | |
| 39 | Linear OA(9113, 764, F9, 38) (dual of [764, 651, 39]-code) | [i] | ✔ | |