Information on Result #707964
Linear OA(4110, 1073, F4, 26) (dual of [1073, 963, 27]-code), using construction XX applied to C1 = C([1019,16]), C2 = C([1,21]), C3 = C1 + C2 = C([1,16]), and C∩ = C1 ∩ C2 = C([1019,21]) based on
- linear OA(476, 1023, F4, 21) (dual of [1023, 947, 22]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−4,−3,…,16}, and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(480, 1023, F4, 21) (dual of [1023, 943, 22]-code), using the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(496, 1023, F4, 26) (dual of [1023, 927, 27]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−4,−3,…,21}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(460, 1023, F4, 16) (dual of [1023, 963, 17]-code), using the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(47, 23, F4, 4) (dual of [23, 16, 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), using
- discarding factors / shortening the dual code based on linear OA(47, 43, F4, 4) (dual of [43, 36, 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(4112, 1075, F4, 26) (dual of [1075, 963, 27]-code) | [i] | Code Embedding in Larger Space | |