Information on Result #1318076
Linear OA(8125, 140, F8, 89) (dual of [140, 15, 90]-code), using construction X with Varšamov bound based on
- linear OA(8124, 138, F8, 89) (dual of [138, 14, 90]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(8118, 130, F8, 89) (dual of [130, 12, 90]-code), using
- a “DaH†code from Brouwer’s database [i]
- linear OA(8118, 132, F8, 84) (dual of [132, 14, 85]-code), using Gilbert–Varšamov bound and bm = 8118 > Vbs−1(k−1) = 31626 750897 705621 709077 053975 458873 690066 673635 167099 468770 496749 439822 260241 310969 590679 546803 810362 632064 [i]
- linear OA(84, 6, F8, 4) (dual of [6, 2, 5]-code or 6-arc in PG(3,8)), using
- discarding factors / shortening the dual code based on linear OA(84, 8, F8, 4) (dual of [8, 4, 5]-code or 8-arc in PG(3,8)), using
- Reed–Solomon code RS(4,8) [i]
- discarding factors / shortening the dual code based on linear OA(84, 8, F8, 4) (dual of [8, 4, 5]-code or 8-arc in PG(3,8)), using
- linear OA(8118, 130, F8, 89) (dual of [130, 12, 90]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(8124, 139, F8, 88) (dual of [139, 15, 89]-code), using Gilbert–Varšamov bound and bm = 8124 > Vbs−1(k−1) = 9255 645529 106137 893199 719957 960037 757043 245786 821747 805358 064131 417601 162892 427333 668494 906465 442018 775598 780768 [i]
- linear OA(80, 1, F8, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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(8126, 142, F8, 89) (dual of [142, 16, 90]-code) | [i] | Construction X with Varšamov Bound | |