Information on Result #687433
Linear OA(8161, 4125, F8, 44) (dual of [4125, 3964, 45]-code), using construction XX applied to Ce(43) ⊂ Ce(37) ⊂ Ce(36) based on
- linear OA(8153, 4096, F8, 44) (dual of [4096, 3943, 45]-code), using an extension Ce(43) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(8133, 4096, F8, 38) (dual of [4096, 3963, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(8129, 4096, F8, 37) (dual of [4096, 3967, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(87, 28, F8, 5) (dual of [28, 21, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), using
- linear OA(80, 1, F8, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
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 OOA(8161, 2062, F8, 2, 44) (dual of [(2062, 2), 3963, 45]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(8161, 1375, F8, 3, 44) (dual of [(1375, 3), 3964, 45]-NRT-code) | [i] | ||