Information on Result #1303592
Linear OA(9147, 161, F9, 109) (dual of [161, 14, 110]-code), using construction X with Varšamov bound based on
- linear OA(9146, 159, F9, 109) (dual of [159, 13, 110]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(9145, 157, F9, 109) (dual of [157, 12, 110]-code), using
- Gilbert–Varšamov bound and bm = 9145 > Vbs−1(k−1) = 2 134591 947236 203010 963916 969201 991115 995300 959429 202653 869742 687477 375127 458354 483763 960932 659929 841575 313176 886774 572480 483243 024228 686689 [i]
- linear OA(9145, 158, F9, 108) (dual of [158, 13, 109]-code), using Gilbert–Varšamov bound and bm = 9145 > Vbs−1(k−1) = 1 814502 155505 939049 536682 235388 571371 956362 209862 029166 936208 363188 889230 571790 128363 490089 773923 187573 913101 301693 740783 073545 598118 852201 [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(9145, 157, F9, 109) (dual of [157, 12, 110]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(9146, 160, F9, 108) (dual of [160, 14, 109]-code), using Gilbert–Varšamov bound and bm = 9146 > Vbs−1(k−1) = 16 967879 862734 472043 753484 052256 840317 811651 296343 978064 557708 924146 264889 845467 016911 375168 219887 805449 644254 493245 186372 692574 116332 697401 [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(9148, 163, F9, 109) (dual of [163, 15, 110]-code) | [i] | Construction X with Varšamov Bound | |