Information on Result #687182
Linear OA(881, 4100, F8, 23) (dual of [4100, 4019, 24]-code), using construction X applied to Ce(22) ⊂ Ce(21) based on
- linear OA(881, 4096, F8, 23) (dual of [4096, 4015, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(877, 4096, F8, 22) (dual of [4096, 4019, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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(883, 4109, F8, 23) (dual of [4109, 4026, 24]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(884, 4145, F8, 23) (dual of [4145, 4061, 24]-code) | [i] | ||
| 3 | Linear OA(885, 4255, F8, 23) (dual of [4255, 4170, 24]-code) | [i] | ||
| 4 | Linear OA(886, 4489, F8, 23) (dual of [4489, 4403, 24]-code) | [i] | ||
| 5 | Linear OA(887, 4855, F8, 23) (dual of [4855, 4768, 24]-code) | [i] | ||
| 6 | Linear OA(888, 5314, F8, 23) (dual of [5314, 5226, 24]-code) | [i] | ||
| 7 | Linear OOA(881, 2050, F8, 2, 23) (dual of [(2050, 2), 4019, 24]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(881, 1366, F8, 3, 23) (dual of [(1366, 3), 4017, 24]-NRT-code) | [i] | ||