Information on Result #710043
Linear OA(584, 150, F5, 36) (dual of [150, 66, 37]-code), using construction XX applied to C1 = C([1,31]), C2 = C([9,36]), C3 = C1 + C2 = C([9,31]), and C∩ = C1 ∩ C2 = C([1,36]) based on
- linear OA(561, 124, F5, 31) (dual of [124, 63, 32]-code), using the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(567, 124, F5, 28) (dual of [124, 57, 29]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {9,10,…,36}, and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(570, 124, F5, 36) (dual of [124, 54, 37]-code), using the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(555, 124, F5, 23) (dual of [124, 69, 24]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {9,10,…,31}, and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(58, 11, F5, 7) (dual of [11, 3, 8]-code), using
- linear OA(56, 15, F5, 4) (dual of [15, 9, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(56, 30, F5, 4) (dual of [30, 24, 5]-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(583, 149, F5, 35) (dual of [149, 66, 36]-code) | [i] | Truncation | |
| 2 | Linear OOA(584, 75, F5, 2, 36) (dual of [(75, 2), 66, 37]-NRT-code) | [i] | OOA Folding | |