Information on Result #1312548
Linear OA(8147, 4715, F8, 41) (dual of [4715, 4568, 42]-code), using 613 step Varšamov–Edel lengthening with (ri) = (2, 6 times 0, 1, 43 times 0, 1, 129 times 0, 1, 199 times 0, 1, 231 times 0) based on linear OA(8141, 4096, F8, 41) (dual of [4096, 3955, 42]-code), using
- an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
Mode: 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(8147, 4715, F8, 2, 41) (dual of [(4715, 2), 9283, 42]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
2 | Linear OOA(8147, 4715, F8, 3, 41) (dual of [(4715, 3), 13998, 42]-NRT-code) | [i] | ||
3 | Digital (106, 147, 4715)-net over F8 | [i] |