Information on Result #1607584
Linear OOA(3187, 5440, F3, 4, 32) (dual of [(5440, 4), 21573, 33]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3187, 5440, F3, 32) (dual of [5440, 5253, 33]-code), using
- discarding factors / shortening the dual code based on linear OA(3187, 6619, F3, 32) (dual of [6619, 6432, 33]-code), using
- 3 times code embedding in larger space [i] based on linear OA(3184, 6616, F3, 32) (dual of [6616, 6432, 33]-code), using
- construction X applied to Ce(31) ⊂ Ce(24) [i] based on
- linear OA(3169, 6561, F3, 32) (dual of [6561, 6392, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(3129, 6561, F3, 25) (dual of [6561, 6432, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(315, 55, F3, 6) (dual of [55, 40, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(315, 85, F3, 6) (dual of [85, 70, 7]-code), using
- construction X applied to Ce(31) ⊂ Ce(24) [i] based on
- 3 times code embedding in larger space [i] based on linear OA(3184, 6616, F3, 32) (dual of [6616, 6432, 33]-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(3187, 1359, F3, 36, 32) (dual of [(1359, 36), 48737, 33]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row |