Information on Result #612979
Linear OA(4253, large, F4, 29) (dual of [large, large−253, 30]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,28], and designed minimum distance d ≥ |I|+1 = 30
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(4253, large, F4, 28) (dual of [large, large−253, 29]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4253, large, F4, 27) (dual of [large, large−253, 28]-code) | [i] | ||
| 3 | Linear OA(4253, large, F4, 26) (dual of [large, large−253, 27]-code) | [i] | ||
| 4 | Linear OA(4253, large, F4, 25) (dual of [large, large−253, 26]-code) | [i] | ||
| 5 | Linear OA(4253, large, F4, 24) (dual of [large, large−253, 25]-code) | [i] | ||
| 6 | Linear OA(4253, large, F4, 23) (dual of [large, large−253, 24]-code) | [i] | ||
| 7 | Linear OA(4253, large, F4, 22) (dual of [large, large−253, 23]-code) | [i] | ||
| 8 | Linear OA(4253, large, F4, 21) (dual of [large, large−253, 22]-code) | [i] | ||
| 9 | Linear OA(4253, large, F4, 20) (dual of [large, large−253, 21]-code) | [i] | ||
| 10 | Linear OA(4253, large, F4, 19) (dual of [large, large−253, 20]-code) | [i] | ||
| 11 | Linear OA(4253, large, F4, 18) (dual of [large, large−253, 19]-code) | [i] | ||
| 12 | Linear OA(4253, large, F4, 17) (dual of [large, large−253, 18]-code) | [i] | ||
| 13 | Linear OA(4253, large, F4, 16) (dual of [large, large−253, 17]-code) | [i] | ||
| 14 | Linear OA(4253, large, F4, 15) (dual of [large, large−253, 16]-code) | [i] | ||
| 15 | Linear OA(4253, large, F4, 14) (dual of [large, large−253, 15]-code) | [i] | ||
| 16 | Linear OA(4253, large, F4, 13) (dual of [large, large−253, 14]-code) | [i] | ||
| 17 | Linear OA(4253, large, F4, 12) (dual of [large, large−253, 13]-code) | [i] | ||
| 18 | Linear OA(4253, large, F4, 11) (dual of [large, large−253, 12]-code) | [i] | ||
| 19 | Linear OA(4253, large, F4, 10) (dual of [large, large−253, 11]-code) | [i] | ||
| 20 | Linear OA(4253, large, F4, 9) (dual of [large, large−253, 10]-code) | [i] | ||
| 21 | Linear OA(4253, large, F4, 8) (dual of [large, large−253, 9]-code) | [i] | ||
| 22 | Linear OA(4253, large, F4, 7) (dual of [large, large−253, 8]-code) | [i] | ||
| 23 | Linear OA(4253, large, F4, 6) (dual of [large, large−253, 7]-code) | [i] | ||
| 24 | Linear OA(4253, large, F4, 5) (dual of [large, large−253, 6]-code) | [i] | ||
| 25 | Linear OA(4253, large, F4, 4) (dual of [large, large−253, 5]-code) | [i] | ||
| 26 | Linear OA(4253, large, F4, 3) (dual of [large, large−253, 4]-code) | [i] | ||
| 27 | Linear OA(4254, large, F4, 29) (dual of [large, large−254, 30]-code) | [i] | Code Embedding in Larger Space | |
| 28 | Linear OA(4255, large, F4, 29) (dual of [large, large−255, 30]-code) | [i] | ||
| 29 | Linear OA(4256, large, F4, 29) (dual of [large, large−256, 30]-code) | [i] | ||
| 30 | Linear OA(4257, large, F4, 29) (dual of [large, large−257, 30]-code) | [i] | ||
| 31 | Linear OA(4258, large, F4, 29) (dual of [large, large−258, 30]-code) | [i] | ||
| 32 | Linear OA(4259, large, F4, 29) (dual of [large, large−259, 30]-code) | [i] | ||
| 33 | Linear OA(4260, large, F4, 29) (dual of [large, large−260, 30]-code) | [i] | ||
| 34 | Linear OOA(4253, 4194301, F4, 2, 29) (dual of [(4194301, 2), 8388349, 30]-NRT-code) | [i] | OOA Folding | |
| 35 | Linear OOA(4253, 2796201, F4, 3, 29) (dual of [(2796201, 3), 8388350, 30]-NRT-code) | [i] | ||
| 36 | Linear OOA(4253, 599185, F4, 29, 29) (dual of [(599185, 29), 17376112, 30]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |