Information on Result #1303511
Linear OA(9131, 143, F9, 98) (dual of [143, 12, 99]-code), using construction X with Varšamov bound based on
- linear OA(9130, 141, F9, 98) (dual of [141, 11, 99]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(9129, 139, F9, 98) (dual of [139, 10, 99]-code), using
- Gilbert–Varšamov bound and bm = 9129 > Vbs−1(k−1) = 1196 213385 556453 603221 855735 537763 816496 963525 566604 086245 741762 943851 747150 627848 303273 045504 612901 163741 416465 084030 013329 [i]
- linear OA(9129, 140, F9, 97) (dual of [140, 11, 98]-code), using Gilbert–Varšamov bound and bm = 9129 > Vbs−1(k−1) = 1092 748674 549041 252568 973723 031065 654263 557555 902409 699999 857431 786191 263358 796895 612104 239152 453106 472759 118100 253539 879961 [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(9129, 139, F9, 98) (dual of [139, 10, 99]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(9130, 142, F9, 97) (dual of [142, 12, 98]-code), using Gilbert–Varšamov bound and bm = 9130 > Vbs−1(k−1) = 10725 918291 591959 607156 160978 320570 975791 561698 580993 408066 480122 034938 887659 933294 794830 576370 761538 772007 869223 509184 779241 [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(9132, 145, F9, 98) (dual of [145, 13, 99]-code) | [i] | Construction X with Varšamov Bound | |