Information on Result #1303431
Linear OA(9122, 135, F9, 90) (dual of [135, 13, 91]-code), using construction X with Varšamov bound based on
- linear OA(9116, 127, F9, 90) (dual of [127, 11, 91]-code), using
- 3 times truncation [i] based on linear OA(9119, 130, F9, 93) (dual of [130, 11, 94]-code), using
- linear OA(9116, 129, F9, 85) (dual of [129, 13, 86]-code), using Gilbert–Varšamov bound and bm = 9116 > Vbs−1(k−1) = 411 942814 475007 839717 056860 905878 944519 560678 710784 169514 372079 331444 506452 304910 479220 467103 826369 805066 236929 [i]
- linear OA(94, 6, F9, 4) (dual of [6, 2, 5]-code or 6-arc in PG(3,9)), using
- discarding factors / shortening the dual code based on linear OA(94, 9, F9, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,9)), using
- Reed–Solomon code RS(5,9) [i]
- discarding factors / shortening the dual code based on linear OA(94, 9, F9, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,9)), using
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(9123, 137, F9, 90) (dual of [137, 14, 91]-code) | [i] | Construction X with Varšamov Bound | |