Information on Result #679846
Linear OA(4146, 4157, F4, 29) (dual of [4157, 4011, 30]-code), using construction X applied to Ce(28) ⊂ Ce(18) based on
- linear OA(4127, 4096, F4, 29) (dual of [4096, 3969, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(485, 4096, F4, 19) (dual of [4096, 4011, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(419, 61, F4, 9) (dual of [61, 42, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(419, 63, F4, 9) (dual of [63, 44, 10]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 10 [i]
- discarding factors / shortening the dual code based on linear OA(419, 63, F4, 9) (dual of [63, 44, 10]-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(4145, 4156, F4, 28) (dual of [4156, 4011, 29]-code) | [i] | Truncation | |
| 2 | Linear OOA(4146, 2078, F4, 2, 29) (dual of [(2078, 2), 4010, 30]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(4146, 1385, F4, 3, 29) (dual of [(1385, 3), 4009, 30]-NRT-code) | [i] | ||