Information on Result #1307940
Linear OA(4105, 1168, F4, 26) (dual of [1168, 1063, 27]-code), using 130 step Varšamov–Edel lengthening with (ri) = (2, 1, 1, 0, 0, 1, 5 times 0, 1, 12 times 0, 1, 21 times 0, 1, 34 times 0, 1, 48 times 0) based on linear OA(496, 1029, F4, 26) (dual of [1029, 933, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(24) [i] based on
- linear OA(496, 1024, F4, 26) (dual of [1024, 928, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(491, 1024, F4, 25) (dual of [1024, 933, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(40, 5, F4, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
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(4105, 1168, F4, 2, 26) (dual of [(1168, 2), 2231, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4105, 1168, F4, 3, 26) (dual of [(1168, 3), 3399, 27]-NRT-code) | [i] | ||
| 3 | Digital (79, 105, 1168)-net over F4 | [i] | ||