Information on Result #673151
Linear OA(2195, 1078, F2, 37) (dual of [1078, 883, 38]-code), using construction X applied to Ce(36) ⊂ Ce(28) based on
- linear OA(2176, 1024, F2, 37) (dual of [1024, 848, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(2141, 1024, F2, 29) (dual of [1024, 883, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(219, 54, F2, 7) (dual of [54, 35, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(219, 63, F2, 7) (dual of [63, 44, 8]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 26−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 8 [i]
- discarding factors / shortening the dual code based on linear OA(219, 63, F2, 7) (dual of [63, 44, 8]-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(2195, 1078, F2, 36) (dual of [1078, 883, 37]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2194, 1077, F2, 36) (dual of [1077, 883, 37]-code) | [i] | Truncation | |
| 3 | Linear OOA(2195, 154, F2, 7, 37) (dual of [(154, 7), 883, 38]-NRT-code) | [i] | OOA Folding | |