Information on Result #1310392
Linear OA(535, 212, F5, 12) (dual of [212, 177, 13]-code), using 77 step Varšamov–Edel lengthening with (ri) = (2, 0, 1, 0, 0, 0, 1, 8 times 0, 1, 14 times 0, 1, 20 times 0, 1, 25 times 0) based on linear OA(528, 128, F5, 12) (dual of [128, 100, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(10) [i] based on
- linear OA(528, 125, F5, 12) (dual of [125, 97, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- 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(50, 3, F5, 0) (dual of [3, 3, 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(535, 212, F5, 2, 12) (dual of [(212, 2), 389, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(535, 212, F5, 3, 12) (dual of [(212, 3), 601, 13]-NRT-code) | [i] | ||
| 3 | Digital (23, 35, 212)-net over F5 | [i] | ||