Information on Result #687456
Linear OA(8137, 4125, F8, 37) (dual of [4125, 3988, 38]-code), using construction XX applied to Ce(36) ⊂ Ce(30) ⊂ Ce(29) based on
- 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(8109, 4096, F8, 31) (dual of [4096, 3987, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(8105, 4096, F8, 30) (dual of [4096, 3991, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [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(8137, 2062, F8, 2, 37) (dual of [(2062, 2), 3987, 38]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(8137, 1375, F8, 3, 37) (dual of [(1375, 3), 3988, 38]-NRT-code) | [i] | ||