Information on Result #706738
Linear OA(4120, 282, F4, 40) (dual of [282, 162, 41]-code), using construction XX applied to C1 = C([69,106]), C2 = C([67,101]), C3 = C1 + C2 = C([69,101]), and C∩ = C1 ∩ C2 = C([67,106]) based on
- linear OA(4107, 255, F4, 38) (dual of [255, 148, 39]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {69,70,…,106}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(499, 255, F4, 35) (dual of [255, 156, 36]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {67,68,…,101}, and designed minimum distance d ≥ |I|+1 = 36 [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 = {67,68,…,106}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(493, 255, F4, 33) (dual of [255, 162, 34]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {69,70,…,101}, and designed minimum distance d ≥ |I|+1 = 34 [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, 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(4122, 284, F4, 40) (dual of [284, 162, 41]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(4120, 141, F4, 2, 40) (dual of [(141, 2), 162, 41]-NRT-code) | [i] | OOA Folding | |