Information on Result #706992
Linear OA(4130, 264, F4, 46) (dual of [264, 134, 47]-code), using construction XX applied to C1 = C([41,85]), C2 = C([43,86]), C3 = C1 + C2 = C([43,85]), and C∩ = C1 ∩ C2 = C([41,86]) based on
- linear OA(4125, 255, F4, 45) (dual of [255, 130, 46]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {41,42,…,85}, and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(4125, 255, F4, 44) (dual of [255, 130, 45]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {43,44,…,86}, and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(4129, 255, F4, 46) (dual of [255, 126, 47]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {41,42,…,86}, and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(4121, 255, F4, 43) (dual of [255, 134, 44]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {43,44,…,85}, and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(41, 5, F4, 1) (dual of [5, 4, 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(40, 4, F4, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-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(4130, 132, F4, 2, 46) (dual of [(132, 2), 134, 47]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4130, 88, F4, 3, 46) (dual of [(88, 3), 134, 47]-NRT-code) | [i] | ||