Information on Result #1311034
Linear OA(5150, 3164, F5, 37) (dual of [3164, 3014, 38]-code), using 30 step Varšamov–Edel lengthening with (ri) = (2, 0, 0, 1, 7 times 0, 1, 18 times 0) based on linear OA(5146, 3130, F5, 37) (dual of [3130, 2984, 38]-code), using
- construction X applied to Ce(36) ⊂ Ce(35) [i] based on
- linear OA(5146, 3125, F5, 37) (dual of [3125, 2979, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(5141, 3125, F5, 36) (dual of [3125, 2984, 37]-code), using an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(50, 5, F5, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 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(5150, 3164, F5, 2, 37) (dual of [(3164, 2), 6178, 38]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(5150, 3164, F5, 3, 37) (dual of [(3164, 3), 9342, 38]-NRT-code) | [i] | ||
| 3 | Digital (113, 150, 3164)-net over F5 | [i] | ||
| 4 | Linear OOA(5150, 1582, F5, 2, 37) (dual of [(1582, 2), 3014, 38]-NRT-code) | [i] | OOA Folding | |