Information on Result #706606
Linear OA(4108, 278, F4, 36) (dual of [278, 170, 37]-code), using construction XX applied to C1 = C([69,102]), C2 = C([67,97]), C3 = C1 + C2 = C([69,97]), and C∩ = C1 ∩ C2 = C([67,102]) based on
- linear OA(495, 255, F4, 34) (dual of [255, 160, 35]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {69,70,…,102}, and designed minimum distance d ≥ |I|+1 = 35 [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 = {67,68,…,97}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(4101, 255, F4, 36) (dual of [255, 154, 37]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {67,68,…,102}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(485, 255, F4, 29) (dual of [255, 170, 30]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {69,70,…,97}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(46, 16, F4, 4) (dual of [16, 10, 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, 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 OA(4109, 279, F4, 36) (dual of [279, 170, 37]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(4108, 139, F4, 2, 36) (dual of [(139, 2), 170, 37]-NRT-code) | [i] | OOA Folding | |