Information on Result #687178
Linear OA(893, 4100, F8, 27) (dual of [4100, 4007, 28]-code), using construction X applied to Ce(26) ⊂ Ce(25) based on
- linear OA(893, 4096, F8, 27) (dual of [4096, 4003, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(889, 4096, F8, 26) (dual of [4096, 4007, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [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(896, 4112, F8, 27) (dual of [4112, 4016, 28]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(897, 4133, F8, 27) (dual of [4133, 4036, 28]-code) | [i] | ||
| 3 | Linear OA(898, 4187, F8, 27) (dual of [4187, 4089, 28]-code) | [i] | ||
| 4 | Linear OA(899, 4313, F8, 27) (dual of [4313, 4214, 28]-code) | [i] | ||
| 5 | Linear OA(8100, 4548, F8, 27) (dual of [4548, 4448, 28]-code) | [i] | ||
| 6 | Linear OA(8101, 4882, F8, 27) (dual of [4882, 4781, 28]-code) | [i] | ||
| 7 | Linear OA(8102, 5277, F8, 27) (dual of [5277, 5175, 28]-code) | [i] | ||
| 8 | Linear OOA(893, 2050, F8, 2, 27) (dual of [(2050, 2), 4007, 28]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(893, 1366, F8, 3, 27) (dual of [(1366, 3), 4005, 28]-NRT-code) | [i] | ||