Information on Result #678451
Linear OA(4146, 262190, F4, 21) (dual of [262190, 262044, 22]-code), using construction X applied to Ce(20) ⊂ Ce(14) based on
- linear OA(4136, 262144, F4, 21) (dual of [262144, 262008, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(4100, 262144, F4, 15) (dual of [262144, 262044, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(410, 46, F4, 5) (dual of [46, 36, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(410, 63, F4, 5) (dual of [63, 53, 6]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 6 [i]
- discarding factors / shortening the dual code based on linear OA(410, 63, F4, 5) (dual of [63, 53, 6]-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 OA(4147, 262191, F4, 21) (dual of [262191, 262044, 22]-code) | [i] | Code Embedding in Larger Space | |
2 | Linear OA(4148, 262192, F4, 21) (dual of [262192, 262044, 22]-code) | [i] | ||
3 | Linear OA(4145, 262189, F4, 20) (dual of [262189, 262044, 21]-code) | [i] | Truncation | |
4 | Linear OOA(4146, 131095, F4, 2, 21) (dual of [(131095, 2), 262044, 22]-NRT-code) | [i] | OOA Folding | |
5 | Linear OOA(4146, 87396, F4, 3, 21) (dual of [(87396, 3), 262042, 22]-NRT-code) | [i] | ||
6 | Linear OOA(4146, 26218, F4, 21, 21) (dual of [(26218, 21), 550432, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row |