Information on Result #686332
Linear OA(8106, 2097194, F8, 17) (dual of [2097194, 2097088, 18]-code), using construction X applied to Ce(16) ⊂ Ce(10) based on
- linear OA(899, 2097152, F8, 17) (dual of [2097152, 2097053, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(864, 2097152, F8, 11) (dual of [2097152, 2097088, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(87, 42, F8, 5) (dual of [42, 35, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), using
Mode: Constructive and 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(8107, 2097195, F8, 17) (dual of [2097195, 2097088, 18]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(8108, 2097196, F8, 17) (dual of [2097196, 2097088, 18]-code) | [i] | ||
| 3 | Linear OA(8109, 2097197, F8, 17) (dual of [2097197, 2097088, 18]-code) | [i] | ||
| 4 | Linear OA(8105, 2097193, F8, 16) (dual of [2097193, 2097088, 17]-code) | [i] | Truncation | |
| 5 | Linear OA(8107, 2097196, F8, 17) (dual of [2097196, 2097089, 18]-code) | [i] | Construction X with Varšamov Bound | |
| 6 | Linear OA(8108, 2097198, F8, 17) (dual of [2097198, 2097090, 18]-code) | [i] | ||
| 7 | Linear OA(8109, 2097200, F8, 17) (dual of [2097200, 2097091, 18]-code) | [i] | ||
| 8 | Linear OOA(8106, 1048597, F8, 2, 17) (dual of [(1048597, 2), 2097088, 18]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(8106, 699064, F8, 3, 17) (dual of [(699064, 3), 2097086, 18]-NRT-code) | [i] | ||
| 10 | Linear OOA(8106, 262149, F8, 17, 17) (dual of [(262149, 17), 4456427, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |