Information on Result #618099
Linear OA(3256, large, F32, 12) (dual of [large, large−56, 13]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 33554431 = 325−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, m 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(3256, large, F32, 11) (dual of [large, large−56, 12]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3256, large, F32, 10) (dual of [large, large−56, 11]-code) | [i] | ||
| 3 | Linear OA(3256, large, F32, 9) (dual of [large, large−56, 10]-code) | [i] | ||
| 4 | Linear OA(3256, large, F32, 8) (dual of [large, large−56, 9]-code) | [i] | ||
| 5 | Linear OA(3256, large, F32, 7) (dual of [large, large−56, 8]-code) | [i] | ||
| 6 | Linear OA(3256, large, F32, 6) (dual of [large, large−56, 7]-code) | [i] | ||
| 7 | Linear OA(3256, large, F32, 5) (dual of [large, large−56, 6]-code) | [i] | ||
| 8 | Linear OA(3256, large, F32, 4) (dual of [large, large−56, 5]-code) | [i] | ||
| 9 | Linear OA(3256, large, F32, 3) (dual of [large, large−56, 4]-code) | [i] | ||
| 10 | Linear OA(3257, large, F32, 12) (dual of [large, large−57, 13]-code) | [i] | Code Embedding in Larger Space | |
| 11 | Linear OA(3258, large, F32, 12) (dual of [large, large−58, 13]-code) | [i] | ||
| 12 | Linear OA(3259, large, F32, 12) (dual of [large, large−59, 13]-code) | [i] | ||
| 13 | Linear OA(3260, large, F32, 12) (dual of [large, large−60, 13]-code) | [i] | ||
| 14 | Linear OA(3262, large, F32, 12) (dual of [large, large−62, 13]-code) | [i] | ||
| 15 | Linear OA(3263, large, F32, 12) (dual of [large, large−63, 13]-code) | [i] | ||
| 16 | Linear OA(3264, large, F32, 12) (dual of [large, large−64, 13]-code) | [i] | ||
| 17 | Linear OA(3265, large, F32, 12) (dual of [large, large−65, 13]-code) | [i] | ||
| 18 | Linear OA(3267, large, F32, 12) (dual of [large, large−67, 13]-code) | [i] | ||
| 19 | Linear OA(3268, large, F32, 12) (dual of [large, large−68, 13]-code) | [i] | ||
| 20 | Linear OA(3269, large, F32, 12) (dual of [large, large−69, 13]-code) | [i] | ||
| 21 | Linear OA(3270, large, F32, 12) (dual of [large, large−70, 13]-code) | [i] | ||
| 22 | Linear OA(3272, large, F32, 12) (dual of [large, large−72, 13]-code) | [i] | ||
| 23 | Linear OA(3273, large, F32, 12) (dual of [large, large−73, 13]-code) | [i] | ||
| 24 | Linear OA(3274, large, F32, 12) (dual of [large, large−74, 13]-code) | [i] | ||
| 25 | Linear OA(3275, large, F32, 12) (dual of [large, large−75, 13]-code) | [i] | ||
| 26 | Linear OA(3277, large, F32, 12) (dual of [large, large−77, 13]-code) | [i] | ||
| 27 | Linear OA(3278, large, F32, 12) (dual of [large, large−78, 13]-code) | [i] | ||
| 28 | Linear OA(3279, large, F32, 12) (dual of [large, large−79, 13]-code) | [i] | ||
| 29 | Linear OA(3280, large, F32, 12) (dual of [large, large−80, 13]-code) | [i] | ||
| 30 | Linear OA(3282, large, F32, 12) (dual of [large, large−82, 13]-code) | [i] | ||
| 31 | Linear OA(3283, large, F32, 12) (dual of [large, large−83, 13]-code) | [i] | ||
| 32 | Linear OA(3284, large, F32, 12) (dual of [large, large−84, 13]-code) | [i] | ||
| 33 | Linear OA(3285, large, F32, 12) (dual of [large, large−85, 13]-code) | [i] | ||
| 34 | Linear OA(3287, large, F32, 12) (dual of [large, large−87, 13]-code) | [i] | ||
| 35 | Linear OA(3288, large, F32, 12) (dual of [large, large−88, 13]-code) | [i] | ||
| 36 | Linear OA(3289, large, F32, 12) (dual of [large, large−89, 13]-code) | [i] | ||
| 37 | Linear OA(3290, large, F32, 12) (dual of [large, large−90, 13]-code) | [i] | ||
| 38 | Linear OA(3292, large, F32, 12) (dual of [large, large−92, 13]-code) | [i] | ||
| 39 | Linear OA(3293, large, F32, 12) (dual of [large, large−93, 13]-code) | [i] | ||
| 40 | Linear OA(3294, large, F32, 12) (dual of [large, large−94, 13]-code) | [i] | ||
| 41 | Linear OA(3295, large, F32, 12) (dual of [large, large−95, 13]-code) | [i] | ||
| 42 | Linear OA(3297, large, F32, 12) (dual of [large, large−97, 13]-code) | [i] | ||
| 43 | Linear OA(3298, large, F32, 12) (dual of [large, large−98, 13]-code) | [i] | ||
| 44 | Linear OA(3299, large, F32, 12) (dual of [large, large−99, 13]-code) | [i] | ||
| 45 | Linear OA(32100, large, F32, 12) (dual of [large, large−100, 13]-code) | [i] | ||
| 46 | Linear OA(32102, large, F32, 12) (dual of [large, large−102, 13]-code) | [i] | ||
| 47 | Linear OA(32103, large, F32, 12) (dual of [large, large−103, 13]-code) | [i] | ||
| 48 | Linear OA(32104, large, F32, 12) (dual of [large, large−104, 13]-code) | [i] | ||
| 49 | Linear OA(32105, large, F32, 12) (dual of [large, large−105, 13]-code) | [i] | ||
| 50 | Linear OA(32107, large, F32, 12) (dual of [large, large−107, 13]-code) | [i] | ||
| 51 | Linear OA(32108, large, F32, 12) (dual of [large, large−108, 13]-code) | [i] | ||
| 52 | Linear OA(32109, large, F32, 12) (dual of [large, large−109, 13]-code) | [i] | ||
| 53 | Linear OA(32110, large, F32, 12) (dual of [large, large−110, 13]-code) | [i] | ||
| 54 | Linear OOA(3256, large, F32, 2, 12) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 55 | Digital (44, 56, large)-net over F32 | [i] | ||
| 56 | Linear OOA(3256, 4194301, F32, 2, 12) (dual of [(4194301, 2), 8388546, 13]-NRT-code) | [i] | OOA Folding | |
| 57 | Linear OOA(3256, 1398100, F32, 12, 12) (dual of [(1398100, 12), 16777144, 13]-NRT-code) | [i] | OA Folding and Stacking | |