Information on Result #687186
Linear OA(869, 4100, F8, 20) (dual of [4100, 4031, 21]-code), using construction X applied to Ce(19) ⊂ Ce(18) based on
- linear OA(869, 4096, F8, 20) (dual of [4096, 4027, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(865, 4096, F8, 19) (dual of [4096, 4031, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(872, 4115, F8, 20) (dual of [4115, 4043, 21]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(873, 4144, F8, 20) (dual of [4144, 4071, 21]-code) | [i] | ||
| 3 | Linear OA(874, 4218, F8, 20) (dual of [4218, 4144, 21]-code) | [i] | ||
| 4 | Linear OA(875, 4393, F8, 20) (dual of [4393, 4318, 21]-code) | [i] | ||
| 5 | Linear OA(876, 4724, F8, 20) (dual of [4724, 4648, 21]-code) | [i] | ||
| 6 | Linear OA(877, 5204, F8, 20) (dual of [5204, 5127, 21]-code) | [i] | ||
| 7 | Linear OOA(869, 2050, F8, 2, 20) (dual of [(2050, 2), 4031, 21]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(869, 1366, F8, 3, 20) (dual of [(1366, 3), 4029, 21]-NRT-code) | [i] | ||
| 9 | Linear OOA(869, 410, F8, 20, 20) (dual of [(410, 20), 8131, 21]-NRT-code) | [i] | OA Folding and Stacking | |