Information on Result #686294
Linear OA(8117, 2097177, F8, 19) (dual of [2097177, 2097060, 20]-code), using construction X applied to Ce(18) ⊂ Ce(14) based on
- linear OA(8113, 2097152, F8, 19) (dual of [2097152, 2097039, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(892, 2097152, F8, 15) (dual of [2097152, 2097060, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(84, 25, F8, 3) (dual of [25, 21, 4]-code or 25-cap in PG(3,8)), 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 OOA(8117, 1489722, F8, 2, 19) (dual of [(1489722, 2), 2979327, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8117, 1489722, F8, 3, 19) (dual of [(1489722, 3), 4469049, 20]-NRT-code) | [i] | ||
| 3 | Digital (98, 117, 1489722)-net over F8 | [i] | ||
| 4 | Linear OOA(8117, 1048588, F8, 2, 19) (dual of [(1048588, 2), 2097059, 20]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(8117, 699059, F8, 3, 19) (dual of [(699059, 3), 2097060, 20]-NRT-code) | [i] | ||
| 6 | Linear OOA(8117, 233019, F8, 19, 19) (dual of [(233019, 19), 4427244, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |