Information on Result #1555106
Linear OOA(895, 3600, F8, 3, 27) (dual of [(3600, 3), 10705, 28]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(895, 3600, F8, 27) (dual of [3600, 3505, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(895, 4106, F8, 27) (dual of [4106, 4011, 28]-code), using
- 1 times code embedding in larger space [i] based on linear OA(894, 4105, F8, 27) (dual of [4105, 4011, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(24) [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(885, 4096, F8, 25) (dual of [4096, 4011, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(81, 9, F8, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(26) ⊂ Ce(24) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(894, 4105, F8, 27) (dual of [4105, 4011, 28]-code), 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(895, 719, F8, 33, 27) (dual of [(719, 33), 23632, 28]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |