Information on Result #682977
Linear OA(551, 3130, F5, 13) (dual of [3130, 3079, 14]-code), using construction X applied to Ce(12) ⊂ Ce(11) based on
- linear OA(551, 3125, F5, 13) (dual of [3125, 3074, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- 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(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: 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(554, 3144, F5, 13) (dual of [3144, 3090, 14]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(555, 3164, F5, 13) (dual of [3164, 3109, 14]-code) | [i] | ||
| 3 | Linear OA(556, 3207, F5, 13) (dual of [3207, 3151, 14]-code) | [i] | ||
| 4 | Linear OA(557, 3296, F5, 13) (dual of [3296, 3239, 14]-code) | [i] | ||
| 5 | Linear OA(558, 3468, F5, 13) (dual of [3468, 3410, 14]-code) | [i] | ||
| 6 | Linear OA(559, 3762, F5, 13) (dual of [3762, 3703, 14]-code) | [i] | ||
| 7 | Linear OA(560, 4194, F5, 13) (dual of [4194, 4134, 14]-code) | [i] | ||
| 8 | Linear OOA(551, 1565, F5, 2, 13) (dual of [(1565, 2), 3079, 14]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(551, 1043, F5, 3, 13) (dual of [(1043, 3), 3078, 14]-NRT-code) | [i] | ||
| 10 | Linear OOA(551, 521, F5, 13, 13) (dual of [(521, 13), 6722, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |