Information on Result #1310403
Linear OA(553, 3362, F5, 12) (dual of [3362, 3309, 13]-code), using 225 step Varšamov–Edel lengthening with (ri) = (2, 0, 1, 4 times 0, 1, 11 times 0, 1, 26 times 0, 1, 57 times 0, 1, 120 times 0) based on linear OA(546, 3130, F5, 12) (dual of [3130, 3084, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(10) [i] based on
- linear OA(546, 3125, F5, 12) (dual of [3125, 3079, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(541, 3125, F5, 11) (dual of [3125, 3084, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [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(553, 3362, F5, 2, 12) (dual of [(3362, 2), 6671, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(553, 3362, F5, 3, 12) (dual of [(3362, 3), 10033, 13]-NRT-code) | [i] | ||
| 3 | Digital (41, 53, 3362)-net over F5 | [i] | ||
| 4 | Linear OOA(553, 1681, F5, 2, 12) (dual of [(1681, 2), 3309, 13]-NRT-code) | [i] | OOA Folding | |