Information on Result #682968
Linear OA(586, 3130, F5, 22) (dual of [3130, 3044, 23]-code), using construction X applied to Ce(21) ⊂ Ce(20) based on
- linear OA(586, 3125, F5, 22) (dual of [3125, 3039, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(581, 3125, F5, 21) (dual of [3125, 3044, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [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(587, 3131, F5, 22) (dual of [3131, 3044, 23]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(591, 3150, F5, 22) (dual of [3150, 3059, 23]-code) | [i] | Varšamov–Edel Lengthening | |
| 3 | Linear OA(592, 3170, F5, 22) (dual of [3170, 3078, 23]-code) | [i] | ||
| 4 | Linear OA(593, 3207, F5, 22) (dual of [3207, 3114, 23]-code) | [i] | ||
| 5 | Linear OA(594, 3271, F5, 22) (dual of [3271, 3177, 23]-code) | [i] | ||
| 6 | Linear OA(595, 3375, F5, 22) (dual of [3375, 3280, 23]-code) | [i] | ||
| 7 | Linear OA(596, 3529, F5, 22) (dual of [3529, 3433, 23]-code) | [i] | ||
| 8 | Linear OA(597, 3738, F5, 22) (dual of [3738, 3641, 23]-code) | [i] | ||
| 9 | Linear OA(598, 3998, F5, 22) (dual of [3998, 3900, 23]-code) | [i] | ||
| 10 | Linear OA(599, 4300, F5, 22) (dual of [4300, 4201, 23]-code) | [i] | ||
| 11 | Linear OA(5100, 4636, F5, 22) (dual of [4636, 4536, 23]-code) | [i] | ||
| 12 | Linear OA(5101, 5002, F5, 22) (dual of [5002, 4901, 23]-code) | [i] | ||
| 13 | Linear OOA(586, 1565, F5, 2, 22) (dual of [(1565, 2), 3044, 23]-NRT-code) | [i] | OOA Folding | |
| 14 | Linear OOA(586, 1043, F5, 3, 22) (dual of [(1043, 3), 3043, 23]-NRT-code) | [i] | ||