Information on Result #1559665
Linear OOA(943, 5759, F9, 3, 12) (dual of [(5759, 3), 17234, 13]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(943, 5759, F9, 12) (dual of [5759, 5716, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(943, 6571, F9, 12) (dual of [6571, 6528, 13]-code), using
- 1 times code embedding in larger space [i] based on linear OA(942, 6570, F9, 12) (dual of [6570, 6528, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(9) [i] based on
- linear OA(941, 6561, F9, 12) (dual of [6561, 6520, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(933, 6561, F9, 10) (dual of [6561, 6528, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(91, 9, F9, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, s, F9, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(11) ⊂ Ce(9) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(942, 6570, F9, 12) (dual of [6570, 6528, 13]-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(943, 2879, F9, 15, 12) (dual of [(2879, 15), 43142, 13]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |