Information on Result #612963
Linear OA(4241, large, F4, 27) (dual of [large, large−241, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 16777217 | 424−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (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(4241, large, F4, 26) (dual of [large, large−241, 27]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4241, large, F4, 25) (dual of [large, large−241, 26]-code) | [i] | ||
| 3 | Linear OA(4241, large, F4, 24) (dual of [large, large−241, 25]-code) | [i] | ||
| 4 | Linear OA(4241, large, F4, 23) (dual of [large, large−241, 24]-code) | [i] | ||
| 5 | Linear OA(4241, large, F4, 22) (dual of [large, large−241, 23]-code) | [i] | ||
| 6 | Linear OA(4241, large, F4, 21) (dual of [large, large−241, 22]-code) | [i] | ||
| 7 | Linear OA(4241, large, F4, 20) (dual of [large, large−241, 21]-code) | [i] | ||
| 8 | Linear OA(4241, large, F4, 19) (dual of [large, large−241, 20]-code) | [i] | ||
| 9 | Linear OA(4241, large, F4, 18) (dual of [large, large−241, 19]-code) | [i] | ||
| 10 | Linear OA(4241, large, F4, 17) (dual of [large, large−241, 18]-code) | [i] | ||
| 11 | Linear OA(4241, large, F4, 16) (dual of [large, large−241, 17]-code) | [i] | ||
| 12 | Linear OA(4241, large, F4, 15) (dual of [large, large−241, 16]-code) | [i] | ||
| 13 | Linear OA(4241, large, F4, 14) (dual of [large, large−241, 15]-code) | [i] | ||
| 14 | Linear OA(4241, large, F4, 13) (dual of [large, large−241, 14]-code) | [i] | ||
| 15 | Linear OA(4241, large, F4, 12) (dual of [large, large−241, 13]-code) | [i] | ||
| 16 | Linear OA(4241, large, F4, 11) (dual of [large, large−241, 12]-code) | [i] | ||
| 17 | Linear OA(4241, large, F4, 10) (dual of [large, large−241, 11]-code) | [i] | ||
| 18 | Linear OA(4241, large, F4, 9) (dual of [large, large−241, 10]-code) | [i] | ||
| 19 | Linear OA(4241, large, F4, 8) (dual of [large, large−241, 9]-code) | [i] | ||
| 20 | Linear OA(4241, large, F4, 7) (dual of [large, large−241, 8]-code) | [i] | ||
| 21 | Linear OA(4241, large, F4, 6) (dual of [large, large−241, 7]-code) | [i] | ||
| 22 | Linear OA(4241, large, F4, 5) (dual of [large, large−241, 6]-code) | [i] | ||
| 23 | Linear OA(4241, large, F4, 4) (dual of [large, large−241, 5]-code) | [i] | ||
| 24 | Linear OA(4241, large, F4, 3) (dual of [large, large−241, 4]-code) | [i] | ||
| 25 | Linear OA(4242, large, F4, 27) (dual of [large, large−242, 28]-code) | [i] | Code Embedding in Larger Space | |
| 26 | Linear OA(4243, large, F4, 27) (dual of [large, large−243, 28]-code) | [i] | ||
| 27 | Linear OA(4244, large, F4, 27) (dual of [large, large−244, 28]-code) | [i] | ||
| 28 | Linear OA(4245, large, F4, 27) (dual of [large, large−245, 28]-code) | [i] | ||
| 29 | Linear OA(4246, large, F4, 27) (dual of [large, large−246, 28]-code) | [i] | ||
| 30 | Linear OA(4247, large, F4, 27) (dual of [large, large−247, 28]-code) | [i] | ||
| 31 | Linear OA(4248, large, F4, 27) (dual of [large, large−248, 28]-code) | [i] | ||
| 32 | Linear OA(4249, large, F4, 27) (dual of [large, large−249, 28]-code) | [i] | ||
| 33 | Linear OA(4250, large, F4, 27) (dual of [large, large−250, 28]-code) | [i] | ||
| 34 | Linear OA(4251, large, F4, 27) (dual of [large, large−251, 28]-code) | [i] | ||
| 35 | Linear OA(4254, large, F4, 27) (dual of [large, large−254, 28]-code) | [i] | ||
| 36 | Linear OA(4255, large, F4, 27) (dual of [large, large−255, 28]-code) | [i] | ||
| 37 | Linear OA(4256, large, F4, 27) (dual of [large, large−256, 28]-code) | [i] | ||
| 38 | Linear OA(4257, large, F4, 27) (dual of [large, large−257, 28]-code) | [i] | ||
| 39 | Linear OA(4258, large, F4, 27) (dual of [large, large−258, 28]-code) | [i] | ||
| 40 | Linear OA(4259, large, F4, 27) (dual of [large, large−259, 28]-code) | [i] | ||
| 41 | Linear OA(4260, large, F4, 27) (dual of [large, large−260, 28]-code) | [i] | ||
| 42 | Linear OOA(4241, 4194301, F4, 2, 27) (dual of [(4194301, 2), 8388361, 28]-NRT-code) | [i] | OOA Folding | |
| 43 | Linear OOA(4241, 2796201, F4, 3, 27) (dual of [(2796201, 3), 8388362, 28]-NRT-code) | [i] | ||
| 44 | Linear OOA(4241, 645277, F4, 27, 27) (dual of [(645277, 27), 17422238, 28]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |