Information on Result #706639
Linear OA(4124, 288, F4, 40) (dual of [288, 164, 41]-code), using construction XX applied to C1 = C([48,85]), C2 = C([55,87]), C3 = C1 + C2 = C([55,85]), and C∩ = C1 ∩ C2 = C([48,87]) based on
- linear OA(4105, 255, F4, 38) (dual of [255, 150, 39]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {48,49,…,85}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(499, 255, F4, 33) (dual of [255, 156, 34]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {55,56,…,87}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(4113, 255, F4, 40) (dual of [255, 142, 41]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {48,49,…,87}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(491, 255, F4, 31) (dual of [255, 164, 32]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {55,56,…,85}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(410, 24, F4, 6) (dual of [24, 14, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(410, 26, F4, 6) (dual of [26, 16, 7]-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(4124, 144, F4, 2, 40) (dual of [(144, 2), 164, 41]-NRT-code) | [i] | OOA Folding | |