Information on Result #687177
Linear OA(897, 4100, F8, 28) (dual of [4100, 4003, 29]-code), using construction X applied to Ce(27) ⊂ Ce(26) based on
- linear OA(897, 4096, F8, 28) (dual of [4096, 3999, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(893, 4096, F8, 27) (dual of [4096, 4003, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(80, 4, F8, 0) (dual of [4, 4, 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: 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(8100, 4120, F8, 28) (dual of [4120, 4020, 29]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(8101, 4158, F8, 28) (dual of [4158, 4057, 29]-code) | [i] | ||
| 3 | Linear OA(8102, 4250, F8, 28) (dual of [4250, 4148, 29]-code) | [i] | ||
| 4 | Linear OA(8103, 4439, F8, 28) (dual of [4439, 4336, 29]-code) | [i] | ||
| 5 | Linear OA(8104, 4731, F8, 28) (dual of [4731, 4627, 29]-code) | [i] | ||
| 6 | Linear OA(8105, 5091, F8, 28) (dual of [5091, 4986, 29]-code) | [i] | ||
| 7 | Linear OOA(897, 2050, F8, 2, 28) (dual of [(2050, 2), 4003, 29]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(897, 1366, F8, 3, 28) (dual of [(1366, 3), 4001, 29]-NRT-code) | [i] | ||