Information on Result #1303571
Linear OA(9142, 156, F9, 105) (dual of [156, 14, 106]-code), using construction X with Varšamov bound based on
- linear OA(9141, 154, F9, 105) (dual of [154, 13, 106]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(9140, 152, F9, 105) (dual of [152, 12, 106]-code), using
- Gilbert–Varšamov bound and bm = 9140 > Vbs−1(k−1) = 36 917231 130944 081700 490712 191624 655969 850868 494771 569197 356910 901688 332287 070015 994405 686580 186002 503238 133363 124324 718797 247255 239161 [i]
- linear OA(9140, 153, F9, 104) (dual of [153, 13, 105]-code), using Gilbert–Varšamov bound and bm = 9140 > Vbs−1(k−1) = 30 475922 017220 794382 973613 351089 196734 723981 248063 069255 526030 540488 348917 326080 312182 429679 310666 575415 049588 872834 762759 035234 560449 [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
- linear OA(9140, 152, F9, 105) (dual of [152, 12, 106]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(9141, 155, F9, 104) (dual of [155, 14, 105]-code), using Gilbert–Varšamov bound and bm = 9141 > Vbs−1(k−1) = 278 002520 643810 331409 867297 476222 624826 879491 181433 239978 472635 351563 235612 167008 254636 297141 964024 330618 432339 633320 366785 721724 646929 [i]
- linear OA(90, 1, F9, 0) (dual of [1, 1, 1]-code) (see above)
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 OA(9143, 158, F9, 105) (dual of [158, 15, 106]-code) | [i] | Construction X with Varšamov Bound | |