Information on Result #707051
Linear OA(4150, 273, F4, 54) (dual of [273, 123, 55]-code), using construction XX applied to C1 = C([33,84]), C2 = C([39,86]), C3 = C1 + C2 = C([39,84]), and C∩ = C1 ∩ C2 = C([33,86]) based on
- linear OA(4138, 255, F4, 52) (dual of [255, 117, 53]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {33,34,…,84}, and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(4137, 255, F4, 48) (dual of [255, 118, 49]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {39,40,…,86}, and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(4143, 255, F4, 54) (dual of [255, 112, 55]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {33,34,…,86}, and designed minimum distance d ≥ |I|+1 = 55 [i]
- linear OA(4132, 255, F4, 46) (dual of [255, 123, 47]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {39,40,…,84}, and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(46, 12, F4, 5) (dual of [12, 6, 6]-code), using
- extended quadratic residue code Qe(12,4) [i]
- linear OA(41, 6, F4, 1) (dual of [6, 5, 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(4150, 136, F4, 2, 54) (dual of [(136, 2), 122, 55]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4150, 91, F4, 3, 54) (dual of [(91, 3), 123, 55]-NRT-code) | [i] | ||