Information on Result #684051
Linear OA(526, 129, F5, 11) (dual of [129, 103, 12]-code), using construction X applied to Ce(10) ⊂ Ce(8) based on
- linear OA(525, 125, F5, 11) (dual of [125, 100, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(522, 125, F5, 9) (dual of [125, 103, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(51, 4, F5, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(526, 86, F5, 2, 11) (dual of [(86, 2), 146, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(526, 64, F5, 2, 11) (dual of [(64, 2), 102, 12]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(526, 43, F5, 3, 11) (dual of [(43, 3), 103, 12]-NRT-code) | [i] | ||