Information on Result #682972
Linear OA(571, 3130, F5, 18) (dual of [3130, 3059, 19]-code), using construction X applied to Ce(17) ⊂ Ce(16) based on
- linear OA(571, 3125, F5, 18) (dual of [3125, 3054, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(566, 3125, F5, 17) (dual of [3125, 3059, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(576, 3158, F5, 18) (dual of [3158, 3082, 19]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(577, 3190, F5, 18) (dual of [3190, 3113, 19]-code) | [i] | ||
| 3 | Linear OA(578, 3256, F5, 18) (dual of [3256, 3178, 19]-code) | [i] | ||
| 4 | Linear OA(579, 3381, F5, 18) (dual of [3381, 3302, 19]-code) | [i] | ||
| 5 | Linear OA(580, 3588, F5, 18) (dual of [3588, 3508, 19]-code) | [i] | ||
| 6 | Linear OA(581, 3880, F5, 18) (dual of [3880, 3799, 19]-code) | [i] | ||
| 7 | Linear OA(582, 4239, F5, 18) (dual of [4239, 4157, 19]-code) | [i] | ||
| 8 | Linear OA(583, 4651, F5, 18) (dual of [4651, 4568, 19]-code) | [i] | ||
| 9 | Linear OOA(571, 1565, F5, 2, 18) (dual of [(1565, 2), 3059, 19]-NRT-code) | [i] | OOA Folding | |
| 10 | Linear OOA(571, 1043, F5, 3, 18) (dual of [(1043, 3), 3058, 19]-NRT-code) | [i] | ||