Information on Result #687168
Linear OA(8125, 4100, F8, 36) (dual of [4100, 3975, 37]-code), using construction X applied to Ce(35) ⊂ Ce(34) based on
- linear OA(8125, 4096, F8, 36) (dual of [4096, 3971, 37]-code), using an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(8121, 4096, F8, 35) (dual of [4096, 3975, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(80, 4, F8, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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, 4109, F8, 36) (dual of [4109, 3982, 37]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(8128, 4154, F8, 36) (dual of [4154, 4026, 37]-code) | [i] | ||
| 3 | Linear OA(8129, 4294, F8, 36) (dual of [4294, 4165, 37]-code) | [i] | ||
| 4 | Linear OA(8130, 4519, F8, 36) (dual of [4519, 4389, 37]-code) | [i] | ||
| 5 | Linear OA(8131, 4787, F8, 36) (dual of [4787, 4656, 37]-code) | [i] | ||
| 6 | Linear OOA(8125, 2050, F8, 2, 36) (dual of [(2050, 2), 3975, 37]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(8125, 1366, F8, 3, 36) (dual of [(1366, 3), 3973, 37]-NRT-code) | [i] | ||