Information on Result #1310328
Linear OA(528, 3136, F5, 7) (dual of [3136, 3108, 8]-code), using 4 step Varšamov–Edel lengthening with (ri) = (2, 0, 0, 0) based on linear OA(526, 3130, F5, 7) (dual of [3130, 3104, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- linear OA(526, 3125, F5, 7) (dual of [3125, 3099, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(521, 3125, F5, 6) (dual of [3125, 3104, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [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(528, 3136, F5, 2, 7) (dual of [(3136, 2), 6244, 8]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(528, 3136, F5, 3, 7) (dual of [(3136, 3), 9380, 8]-NRT-code) | [i] | ||
| 3 | Digital (21, 28, 3136)-net over F5 | [i] | ||
| 4 | Linear OOA(528, 1568, F5, 2, 7) (dual of [(1568, 2), 3108, 8]-NRT-code) | [i] | OOA Folding | |