Information on Result #684171
Linear OA(574, 150, F5, 31) (dual of [150, 76, 32]-code), using construction X applied to Ce(30) ⊂ Ce(20) based on
- linear OA(561, 125, F5, 31) (dual of [125, 64, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(549, 125, F5, 21) (dual of [125, 76, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(513, 25, F5, 9) (dual of [25, 12, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(513, 28, F5, 9) (dual of [28, 15, 10]-code), using
- 2 times truncation [i] based on linear OA(515, 30, F5, 11) (dual of [30, 15, 12]-code), using
- extended quadratic residue code Qe(30,5) [i]
- 2 times truncation [i] based on linear OA(515, 30, F5, 11) (dual of [30, 15, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(513, 28, F5, 9) (dual of [28, 15, 10]-code), 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(574, 150, F5, 30) (dual of [150, 76, 31]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(573, 149, F5, 30) (dual of [149, 76, 31]-code) | [i] | Truncation | |
| 3 | Linear OA(572, 148, F5, 29) (dual of [148, 76, 30]-code) | [i] | ||
| 4 | Linear OOA(574, 75, F5, 2, 31) (dual of [(75, 2), 76, 32]-NRT-code) | [i] | OOA Folding | |