Information on Result #708703
Linear OA(4169, 1057, F4, 43) (dual of [1057, 888, 44]-code), using construction XX applied to C1 = C([1019,36]), C2 = C([1,38]), C3 = C1 + C2 = C([1,36]), and C∩ = C1 ∩ C2 = C([1019,38]) based on
- linear OA(4151, 1023, F4, 41) (dual of [1023, 872, 42]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−4,−3,…,36}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(4145, 1023, F4, 38) (dual of [1023, 878, 39]-code), using the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(4161, 1023, F4, 43) (dual of [1023, 862, 44]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−4,−3,…,38}, and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(4135, 1023, F4, 36) (dual of [1023, 888, 37]-code), using the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(47, 23, F4, 4) (dual of [23, 16, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
- linear OA(41, 11, F4, 1) (dual of [11, 10, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-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 OOA(4169, 352, F4, 3, 43) (dual of [(352, 3), 887, 44]-NRT-code) | [i] | OOA Folding | |