Information on Result #708022
Linear OA(4120, 1077, F4, 28) (dual of [1077, 957, 29]-code), using construction XX applied to C1 = C([1018,17]), C2 = C([0,22]), C3 = C1 + C2 = C([0,17]), and C∩ = C1 ∩ C2 = C([1018,22]) based on
- linear OA(486, 1023, F4, 23) (dual of [1023, 937, 24]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−5,−4,…,17}, and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(486, 1023, F4, 23) (dual of [1023, 937, 24]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [0,22], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(4106, 1023, F4, 28) (dual of [1023, 917, 29]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−5,−4,…,22}, and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(466, 1023, F4, 18) (dual of [1023, 957, 19]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(47, 27, F4, 4) (dual of [27, 20, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
- linear OA(47, 27, F4, 4) (dual of [27, 20, 5]-code) (see above)
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(4121, 1078, F4, 28) (dual of [1078, 957, 29]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4122, 1079, F4, 28) (dual of [1079, 957, 29]-code) | [i] | ||
| 3 | Linear OOA(4120, 538, F4, 2, 28) (dual of [(538, 2), 956, 29]-NRT-code) | [i] | OOA Folding | |