Information on Result #680884
Linear OA(4203, 1086, F4, 49) (dual of [1086, 883, 50]-code), using construction X applied to Ce(48) ⊂ Ce(37) based on
- linear OA(4181, 1024, F4, 49) (dual of [1024, 843, 50]-code), using an extension Ce(48) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,48], and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(4141, 1024, F4, 38) (dual of [1024, 883, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(422, 62, F4, 10) (dual of [62, 40, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(422, 63, F4, 10) (dual of [63, 41, 11]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- discarding factors / shortening the dual code based on linear OA(422, 63, F4, 10) (dual of [63, 41, 11]-code), 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(4203, 543, F4, 2, 49) (dual of [(543, 2), 883, 50]-NRT-code) | [i] | OOA Folding | |