Information on Result #709458
Linear OA(4213, 1035, F4, 57) (dual of [1035, 822, 58]-code), using construction XX applied to C1 = C([291,345]), C2 = C([289,343]), C3 = C1 + C2 = C([291,343]), and C∩ = C1 ∩ C2 = C([289,345]) based on
- linear OA(4206, 1023, F4, 55) (dual of [1023, 817, 56]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {291,292,…,345}, and designed minimum distance d ≥ |I|+1 = 56 [i]
- linear OA(4206, 1023, F4, 55) (dual of [1023, 817, 56]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {289,290,…,343}, and designed minimum distance d ≥ |I|+1 = 56 [i]
- linear OA(4211, 1023, F4, 57) (dual of [1023, 812, 58]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {289,290,…,345}, and designed minimum distance d ≥ |I|+1 = 58 [i]
- linear OA(4201, 1023, F4, 53) (dual of [1023, 822, 54]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {291,292,…,343}, and designed minimum distance d ≥ |I|+1 = 54 [i]
- linear OA(41, 6, F4, 1) (dual of [6, 5, 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
- linear OA(41, 6, F4, 1) (dual of [6, 5, 2]-code) (see above)
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(4213, 517, F4, 2, 57) (dual of [(517, 2), 821, 58]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4213, 345, F4, 3, 57) (dual of [(345, 3), 822, 58]-NRT-code) | [i] | ||