Information on Result #2251984
Linear OA(916, 80, F9, 9) (dual of [80, 64, 10]-code), using 2 times truncation based on linear OA(918, 82, F9, 11) (dual of [82, 64, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- linear OA(918, 81, F9, 11) (dual of [81, 63, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(917, 81, F9, 10) (dual of [81, 64, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(90, 1, F9, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(916, 44, F9, 2, 9) (dual of [(44, 2), 72, 10]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(916, 44, F9, 3, 9) (dual of [(44, 3), 116, 10]-NRT-code) | [i] | ||
| 3 | Digital (7, 16, 44)-net over F9 | [i] | ||
| 4 | Linear OA(9143, 4783042, F9, 21) (dual of [4783042, 4782899, 22]-code) | [i] | Construction X with Cyclic Codes | |
| 5 | Linear OA(9127, 59106, F9, 25) (dual of [59106, 58979, 26]-code) | [i] | ||
| 6 | Linear OA(9117, 59106, F9, 23) (dual of [59106, 58989, 24]-code) | [i] | ||
| 7 | Linear OA(9107, 59106, F9, 21) (dual of [59106, 58999, 22]-code) | [i] | ||
| 8 | Linear OA(9147, 59116, F9, 29) (dual of [59116, 58969, 30]-code) | [i] | ||
| 9 | Linear OA(9145, 6610, F9, 37) (dual of [6610, 6465, 38]-code) | [i] | ||
| 10 | Linear OA(9143, 776, F9, 47) (dual of [776, 633, 48]-code) | [i] | ||
| 11 | Linear OA(9107, 776, F9, 33) (dual of [776, 669, 34]-code) | [i] | ||
| 12 | Linear OA(9101, 776, F9, 31) (dual of [776, 675, 32]-code) | [i] | ||
| 13 | Linear OA(995, 776, F9, 29) (dual of [776, 681, 30]-code) | [i] | ||
| 14 | Linear OA(9150, 4783048, F9, 22) (dual of [4783048, 4782898, 23]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 15 | Linear OA(9143, 4783048, F9, 21) (dual of [4783048, 4782905, 22]-code) | [i] | ||
| 16 | Linear OA(9136, 4783048, F9, 20) (dual of [4783048, 4782912, 21]-code) | [i] | ||
| 17 | Linear OA(9147, 59110, F9, 30) (dual of [59110, 58963, 31]-code) | [i] | ||
| 18 | Linear OA(9142, 59110, F9, 29) (dual of [59110, 58968, 30]-code) | [i] | ||
| 19 | Linear OA(9132, 59110, F9, 26) (dual of [59110, 58978, 27]-code) | [i] | ||
| 20 | Linear OA(9127, 59110, F9, 25) (dual of [59110, 58983, 26]-code) | [i] | ||
| 21 | Linear OA(9122, 59110, F9, 24) (dual of [59110, 58988, 25]-code) | [i] | ||
| 22 | Linear OA(9117, 59110, F9, 23) (dual of [59110, 58993, 24]-code) | [i] | ||
| 23 | Linear OA(9112, 59110, F9, 22) (dual of [59110, 58998, 23]-code) | [i] | ||
| 24 | Linear OA(9107, 59110, F9, 21) (dual of [59110, 59003, 22]-code) | [i] | ||
| 25 | Linear OA(9102, 59110, F9, 20) (dual of [59110, 59008, 21]-code) | [i] | ||
| 26 | Linear OA(9149, 6613, F9, 38) (dual of [6613, 6464, 39]-code) | [i] | ||
| 27 | Linear OA(9143, 772, F9, 48) (dual of [772, 629, 49]-code) | [i] | ||
| 28 | Linear OA(9140, 772, F9, 47) (dual of [772, 632, 48]-code) | [i] | ||
| 29 | Linear OA(9134, 772, F9, 44) (dual of [772, 638, 45]-code) | [i] | ||
| 30 | Linear OA(9131, 772, F9, 43) (dual of [772, 641, 44]-code) | [i] | ||
| 31 | Linear OA(9128, 772, F9, 42) (dual of [772, 644, 43]-code) | [i] | ||
| 32 | Linear OA(9125, 772, F9, 41) (dual of [772, 647, 42]-code) | [i] | ||
| 33 | Linear OA(9122, 772, F9, 40) (dual of [772, 650, 41]-code) | [i] | ||
| 34 | Linear OA(9119, 772, F9, 39) (dual of [772, 653, 40]-code) | [i] | ||
| 35 | Linear OA(9116, 772, F9, 38) (dual of [772, 656, 39]-code) | [i] | ||
| 36 | Linear OA(9110, 772, F9, 35) (dual of [772, 662, 36]-code) | [i] | ||
| 37 | Linear OA(9107, 772, F9, 34) (dual of [772, 665, 35]-code) | [i] | ||
| 38 | Linear OA(9104, 772, F9, 33) (dual of [772, 668, 34]-code) | [i] | ||
| 39 | Linear OA(9101, 772, F9, 32) (dual of [772, 671, 33]-code) | [i] | ||
| 40 | Linear OA(998, 772, F9, 31) (dual of [772, 674, 32]-code) | [i] | ||
| 41 | Linear OA(995, 772, F9, 30) (dual of [772, 677, 31]-code) | [i] | ||
| 42 | Linear OA(992, 772, F9, 29) (dual of [772, 680, 30]-code) | [i] | ||
| 43 | Linear OA(986, 772, F9, 26) (dual of [772, 686, 27]-code) | [i] | ||
| 44 | Linear OA(983, 772, F9, 25) (dual of [772, 689, 26]-code) | [i] | ||
| 45 | Linear OA(980, 772, F9, 24) (dual of [772, 692, 25]-code) | [i] | ||
| 46 | Linear OOA(916, 40, F9, 2, 9) (dual of [(40, 2), 64, 10]-NRT-code) | [i] | OOA Folding | |
| 47 | Linear OOA(916, 26, F9, 3, 9) (dual of [(26, 3), 62, 10]-NRT-code) | [i] | ||