Information on Result #708535
Linear OA(4147, 1050, F4, 38) (dual of [1050, 903, 39]-code), using construction XX applied to C1 = C([305,340]), C2 = C([309,342]), C3 = C1 + C2 = C([309,340]), and C∩ = C1 ∩ C2 = C([305,342]) based on
- linear OA(4135, 1023, F4, 36) (dual of [1023, 888, 37]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {305,306,…,340}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(4126, 1023, F4, 34) (dual of [1023, 897, 35]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {309,310,…,342}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(4141, 1023, F4, 38) (dual of [1023, 882, 39]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {305,306,…,342}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(4120, 1023, F4, 32) (dual of [1023, 903, 33]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {309,310,…,340}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(45, 20, F4, 3) (dual of [20, 15, 4]-code or 20-cap in PG(4,4)), using
- discarding factors / shortening the dual code based on linear OA(45, 41, F4, 3) (dual of [41, 36, 4]-code or 41-cap in PG(4,4)), using
- linear OA(41, 7, F4, 1) (dual of [7, 6, 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(4147, 525, F4, 2, 38) (dual of [(525, 2), 903, 39]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4147, 350, F4, 3, 38) (dual of [(350, 3), 903, 39]-NRT-code) | [i] | ||