Information on Result #618052
Linear OA(3231, large, F32, 7) (dual of [large, large−31, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 33554433 | 3210−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound)
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(3231, large, F32, 6) (dual of [large, large−31, 7]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3231, large, F32, 5) (dual of [large, large−31, 6]-code) | [i] | ||
| 3 | Linear OA(3231, large, F32, 4) (dual of [large, large−31, 5]-code) | [i] | ||
| 4 | Linear OA(3231, large, F32, 3) (dual of [large, large−31, 4]-code) | [i] | ||
| 5 | Linear OA(3232, large, F32, 7) (dual of [large, large−32, 8]-code) | [i] | Code Embedding in Larger Space | |
| 6 | Linear OA(3233, large, F32, 7) (dual of [large, large−33, 8]-code) | [i] | ||
| 7 | Linear OA(3234, large, F32, 7) (dual of [large, large−34, 8]-code) | [i] | ||
| 8 | Linear OA(3235, large, F32, 7) (dual of [large, large−35, 8]-code) | [i] | ||
| 9 | Linear OA(3237, large, F32, 7) (dual of [large, large−37, 8]-code) | [i] | ||
| 10 | Linear OA(3238, large, F32, 7) (dual of [large, large−38, 8]-code) | [i] | ||
| 11 | Linear OA(3239, large, F32, 7) (dual of [large, large−39, 8]-code) | [i] | ||
| 12 | Linear OA(3240, large, F32, 7) (dual of [large, large−40, 8]-code) | [i] | ||
| 13 | Linear OA(3242, large, F32, 7) (dual of [large, large−42, 8]-code) | [i] | ||
| 14 | Linear OA(3243, large, F32, 7) (dual of [large, large−43, 8]-code) | [i] | ||
| 15 | Linear OA(3244, large, F32, 7) (dual of [large, large−44, 8]-code) | [i] | ||
| 16 | Linear OA(3245, large, F32, 7) (dual of [large, large−45, 8]-code) | [i] | ||
| 17 | Linear OA(3247, large, F32, 7) (dual of [large, large−47, 8]-code) | [i] | ||
| 18 | Linear OA(3248, large, F32, 7) (dual of [large, large−48, 8]-code) | [i] | ||
| 19 | Linear OA(3249, large, F32, 7) (dual of [large, large−49, 8]-code) | [i] | ||
| 20 | Linear OA(3250, large, F32, 7) (dual of [large, large−50, 8]-code) | [i] | ||
| 21 | Linear OA(3252, large, F32, 7) (dual of [large, large−52, 8]-code) | [i] | ||
| 22 | Linear OA(3253, large, F32, 7) (dual of [large, large−53, 8]-code) | [i] | ||
| 23 | Linear OA(3254, large, F32, 7) (dual of [large, large−54, 8]-code) | [i] | ||
| 24 | Linear OA(3255, large, F32, 7) (dual of [large, large−55, 8]-code) | [i] | ||
| 25 | Linear OA(3257, large, F32, 7) (dual of [large, large−57, 8]-code) | [i] | ||
| 26 | Linear OA(3258, large, F32, 7) (dual of [large, large−58, 8]-code) | [i] | ||
| 27 | Linear OA(3259, large, F32, 7) (dual of [large, large−59, 8]-code) | [i] | ||
| 28 | Linear OA(3260, large, F32, 7) (dual of [large, large−60, 8]-code) | [i] | ||
| 29 | Linear OA(3262, large, F32, 7) (dual of [large, large−62, 8]-code) | [i] | ||
| 30 | Linear OA(3263, large, F32, 7) (dual of [large, large−63, 8]-code) | [i] | ||
| 31 | Linear OA(3264, large, F32, 7) (dual of [large, large−64, 8]-code) | [i] | ||
| 32 | Linear OA(3265, large, F32, 7) (dual of [large, large−65, 8]-code) | [i] | ||
| 33 | Linear OA(3267, large, F32, 7) (dual of [large, large−67, 8]-code) | [i] | ||
| 34 | Linear OA(3268, large, F32, 7) (dual of [large, large−68, 8]-code) | [i] | ||
| 35 | Linear OA(3269, large, F32, 7) (dual of [large, large−69, 8]-code) | [i] | ||
| 36 | Linear OA(3270, large, F32, 7) (dual of [large, large−70, 8]-code) | [i] | ||
| 37 | Linear OA(3272, large, F32, 7) (dual of [large, large−72, 8]-code) | [i] | ||
| 38 | Linear OA(3273, large, F32, 7) (dual of [large, large−73, 8]-code) | [i] | ||
| 39 | Linear OA(3274, large, F32, 7) (dual of [large, large−74, 8]-code) | [i] | ||
| 40 | Linear OA(3275, large, F32, 7) (dual of [large, large−75, 8]-code) | [i] | ||
| 41 | Linear OA(3277, large, F32, 7) (dual of [large, large−77, 8]-code) | [i] | ||
| 42 | Linear OA(3278, large, F32, 7) (dual of [large, large−78, 8]-code) | [i] | ||
| 43 | Linear OA(3279, large, F32, 7) (dual of [large, large−79, 8]-code) | [i] | ||
| 44 | Linear OA(3280, large, F32, 7) (dual of [large, large−80, 8]-code) | [i] | ||
| 45 | Linear OA(3282, large, F32, 7) (dual of [large, large−82, 8]-code) | [i] | ||
| 46 | Linear OA(3283, large, F32, 7) (dual of [large, large−83, 8]-code) | [i] | ||
| 47 | Linear OA(3284, large, F32, 7) (dual of [large, large−84, 8]-code) | [i] | ||
| 48 | Linear OA(3285, large, F32, 7) (dual of [large, large−85, 8]-code) | [i] | ||
| 49 | Linear OA(3287, large, F32, 7) (dual of [large, large−87, 8]-code) | [i] | ||
| 50 | Linear OA(3288, large, F32, 7) (dual of [large, large−88, 8]-code) | [i] | ||
| 51 | Linear OA(3289, large, F32, 7) (dual of [large, large−89, 8]-code) | [i] | ||
| 52 | Linear OA(3290, large, F32, 7) (dual of [large, large−90, 8]-code) | [i] | ||
| 53 | Linear OA(3292, large, F32, 7) (dual of [large, large−92, 8]-code) | [i] | ||
| 54 | Linear OA(3293, large, F32, 7) (dual of [large, large−93, 8]-code) | [i] | ||
| 55 | Linear OA(3294, large, F32, 7) (dual of [large, large−94, 8]-code) | [i] | ||
| 56 | Linear OA(3295, large, F32, 7) (dual of [large, large−95, 8]-code) | [i] | ||
| 57 | Linear OA(3297, large, F32, 7) (dual of [large, large−97, 8]-code) | [i] | ||
| 58 | Linear OA(3298, large, F32, 7) (dual of [large, large−98, 8]-code) | [i] | ||
| 59 | Linear OA(3299, large, F32, 7) (dual of [large, large−99, 8]-code) | [i] | ||
| 60 | Linear OA(32100, large, F32, 7) (dual of [large, large−100, 8]-code) | [i] | ||
| 61 | Linear OA(32102, large, F32, 7) (dual of [large, large−102, 8]-code) | [i] | ||
| 62 | Linear OA(32103, large, F32, 7) (dual of [large, large−103, 8]-code) | [i] | ||
| 63 | Linear OA(32104, large, F32, 7) (dual of [large, large−104, 8]-code) | [i] | ||
| 64 | Linear OA(32105, large, F32, 7) (dual of [large, large−105, 8]-code) | [i] | ||
| 65 | Linear OA(32107, large, F32, 7) (dual of [large, large−107, 8]-code) | [i] | ||
| 66 | Linear OA(32108, large, F32, 7) (dual of [large, large−108, 8]-code) | [i] | ||
| 67 | Linear OA(32109, large, F32, 7) (dual of [large, large−109, 8]-code) | [i] | ||
| 68 | Linear OA(32110, large, F32, 7) (dual of [large, large−110, 8]-code) | [i] | ||
| 69 | Linear OOA(3231, large, F32, 2, 7) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 70 | Digital (24, 31, large)-net over F32 | [i] | ||
| 71 | Linear OOA(3231, 4194301, F32, 2, 7) (dual of [(4194301, 2), 8388571, 8]-NRT-code) | [i] | OOA Folding | |
| 72 | Linear OOA(3231, 2796200, F32, 7, 7) (dual of [(2796200, 7), 19573369, 8]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |