Information on Result #615050
Linear OA(8169, large, F8, 25) (dual of [large, large−169, 26]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 88−1, defining interval I = [0,24], and designed minimum distance d ≥ |I|+1 = 26
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(8169, large, F8, 24) (dual of [large, large−169, 25]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(8169, large, F8, 23) (dual of [large, large−169, 24]-code) | [i] | ||
| 3 | Linear OA(8169, large, F8, 22) (dual of [large, large−169, 23]-code) | [i] | ||
| 4 | Linear OA(8169, large, F8, 21) (dual of [large, large−169, 22]-code) | [i] | ||
| 5 | Linear OA(8169, large, F8, 20) (dual of [large, large−169, 21]-code) | [i] | ||
| 6 | Linear OA(8169, large, F8, 19) (dual of [large, large−169, 20]-code) | [i] | ||
| 7 | Linear OA(8169, large, F8, 18) (dual of [large, large−169, 19]-code) | [i] | ||
| 8 | Linear OA(8169, large, F8, 17) (dual of [large, large−169, 18]-code) | [i] | ||
| 9 | Linear OA(8169, large, F8, 16) (dual of [large, large−169, 17]-code) | [i] | ||
| 10 | Linear OA(8169, large, F8, 15) (dual of [large, large−169, 16]-code) | [i] | ||
| 11 | Linear OA(8169, large, F8, 14) (dual of [large, large−169, 15]-code) | [i] | ||
| 12 | Linear OA(8169, large, F8, 13) (dual of [large, large−169, 14]-code) | [i] | ||
| 13 | Linear OA(8169, large, F8, 12) (dual of [large, large−169, 13]-code) | [i] | ||
| 14 | Linear OA(8169, large, F8, 11) (dual of [large, large−169, 12]-code) | [i] | ||
| 15 | Linear OA(8169, large, F8, 10) (dual of [large, large−169, 11]-code) | [i] | ||
| 16 | Linear OA(8169, large, F8, 9) (dual of [large, large−169, 10]-code) | [i] | ||
| 17 | Linear OA(8169, large, F8, 8) (dual of [large, large−169, 9]-code) | [i] | ||
| 18 | Linear OA(8169, large, F8, 7) (dual of [large, large−169, 8]-code) | [i] | ||
| 19 | Linear OA(8169, large, F8, 6) (dual of [large, large−169, 7]-code) | [i] | ||
| 20 | Linear OA(8169, large, F8, 5) (dual of [large, large−169, 6]-code) | [i] | ||
| 21 | Linear OA(8169, large, F8, 4) (dual of [large, large−169, 5]-code) | [i] | ||
| 22 | Linear OA(8169, large, F8, 3) (dual of [large, large−169, 4]-code) | [i] | ||
| 23 | Linear OA(8170, large, F8, 25) (dual of [large, large−170, 26]-code) | [i] | Code Embedding in Larger Space | |
| 24 | Linear OA(8171, large, F8, 25) (dual of [large, large−171, 26]-code) | [i] | ||
| 25 | Linear OA(8172, large, F8, 25) (dual of [large, large−172, 26]-code) | [i] | ||
| 26 | Linear OA(8173, large, F8, 25) (dual of [large, large−173, 26]-code) | [i] | ||
| 27 | Linear OOA(8169, 5319129, F8, 2, 25) (dual of [(5319129, 2), 10638089, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 28 | Linear OOA(8169, 5319129, F8, 3, 25) (dual of [(5319129, 3), 15957218, 26]-NRT-code) | [i] | ||
| 29 | Digital (144, 169, 5319129)-net over F8 | [i] | ||
| 30 | Linear OOA(8169, 4194301, F8, 2, 25) (dual of [(4194301, 2), 8388433, 26]-NRT-code) | [i] | OOA Folding | |
| 31 | Linear OOA(8169, 2796201, F8, 3, 25) (dual of [(2796201, 3), 8388434, 26]-NRT-code) | [i] | ||
| 32 | Linear OOA(8169, 699050, F8, 25, 25) (dual of [(699050, 25), 17476081, 26]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |