Information on Result #707041
Linear OA(4153, 280, F4, 54) (dual of [280, 127, 55]-code), using construction XX applied to C1 = C([33,84]), C2 = C([40,86]), C3 = C1 + C2 = C([40,84]), 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(4133, 255, F4, 47) (dual of [255, 122, 48]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {40,41,…,86}, and designed minimum distance d ≥ |I|+1 = 48 [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(4128, 255, F4, 45) (dual of [255, 127, 46]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {40,41,…,84}, and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(49, 19, F4, 6) (dual of [19, 10, 7]-code), using
- 1 times truncation [i] based on linear OA(410, 20, F4, 7) (dual of [20, 10, 8]-code), using
- extended quadratic residue code Qe(20,4) [i]
- 1 times truncation [i] based on linear OA(410, 20, F4, 7) (dual of [20, 10, 8]-code), using
- 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(4153, 140, F4, 2, 54) (dual of [(140, 2), 127, 55]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4153, 93, F4, 3, 54) (dual of [(93, 3), 126, 55]-NRT-code) | [i] | ||