Information on Result #1312316
Linear OA(898, 4187, F8, 27) (dual of [4187, 4089, 28]-code), using 82 step Varšamov–Edel lengthening with (ri) = (2, 0, 1, 6 times 0, 1, 19 times 0, 1, 52 times 0) based on linear OA(893, 4100, F8, 27) (dual of [4100, 4007, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(25) [i] 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: 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(898, 4187, F8, 2, 27) (dual of [(4187, 2), 8276, 28]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(898, 4187, F8, 3, 27) (dual of [(4187, 3), 12463, 28]-NRT-code) | [i] | ||
| 3 | Digital (71, 98, 4187)-net over F8 | [i] | ||
| 4 | Linear OOA(898, 2093, F8, 2, 27) (dual of [(2093, 2), 4088, 28]-NRT-code) | [i] | OOA Folding | |