Information on Result #706274
Linear OA(478, 284, F4, 24) (dual of [284, 206, 25]-code), using construction XX applied to C1 = C([64,85]), C2 = C([69,87]), C3 = C1 + C2 = C([69,85]), and C∩ = C1 ∩ C2 = C([64,87]) based on
- linear OA(463, 255, F4, 22) (dual of [255, 192, 23]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {64,65,…,85}, and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(457, 255, F4, 19) (dual of [255, 198, 20]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {69,70,…,87}, and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(471, 255, F4, 24) (dual of [255, 184, 25]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {64,65,…,87}, and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(449, 255, F4, 17) (dual of [255, 206, 18]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {69,70,…,85}, and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(46, 20, F4, 4) (dual of [20, 14, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(46, 21, F4, 4) (dual of [21, 15, 5]-code), using
- linear OA(41, 9, F4, 1) (dual of [9, 8, 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(478, 142, F4, 2, 24) (dual of [(142, 2), 206, 25]-NRT-code) | [i] | OOA Folding | |