Information on Result #687377
Linear OA(8126, 4137, F8, 33) (dual of [4137, 4011, 34]-code), using construction X applied to Ce(32) ⊂ Ce(24) based on
- linear OA(8113, 4096, F8, 33) (dual of [4096, 3983, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(885, 4096, F8, 25) (dual of [4096, 4011, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(813, 41, F8, 7) (dual of [41, 28, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(813, 63, F8, 7) (dual of [63, 50, 8]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
- discarding factors / shortening the dual code based on linear OA(813, 63, F8, 7) (dual of [63, 50, 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(8127, 4138, F8, 33) (dual of [4138, 4011, 34]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(8125, 4136, F8, 32) (dual of [4136, 4011, 33]-code) | [i] | Truncation | |
| 3 | Linear OOA(8126, 2068, F8, 2, 33) (dual of [(2068, 2), 4010, 34]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(8126, 1379, F8, 3, 33) (dual of [(1379, 3), 4011, 34]-NRT-code) | [i] | ||