Information on Result #700725
Linear OA(325, 80, F3, 10) (dual of [80, 55, 11]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [0,8], and designed minimum distance d ≥ |I|+1 = 11
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
- Primitive Cyclic Codes (BCH-Bound) (hidden) [i]
- Primitive Cyclic Codes (BCH-Bound) (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3242, 791, F3, 56) (dual of [791, 549, 57]-code) | [i] | Construction X with Cyclic Codes | |
| 2 | Linear OA(3242, 803, F3, 54) (dual of [803, 561, 55]-code) | [i] | ||
| 3 | Linear OA(3236, 789, F3, 55) (dual of [789, 553, 56]-code) | [i] | ||
| 4 | Linear OA(3236, 795, F3, 54) (dual of [795, 559, 55]-code) | [i] | ||
| 5 | Linear OA(337, 100, F3, 12) (dual of [100, 63, 13]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 6 | Linear OA(337, 96, F3, 13) (dual of [96, 59, 14]-code) | [i] | ✔ | |
| 7 | Linear OA(335, 94, F3, 12) (dual of [94, 59, 13]-code) | [i] | ✔ | |
| 8 | Linear OA(331, 86, F3, 12) (dual of [86, 55, 13]-code) | [i] | ✔ | |
| 9 | Linear OA(338, 93, F3, 14) (dual of [93, 55, 15]-code) | [i] | ✔ | |
| 10 | Linear OA(345, 100, F3, 16) (dual of [100, 55, 17]-code) | [i] | ✔ | |
| 11 | Linear OA(3250, 2261, F3, 49) (dual of [2261, 2011, 50]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 12 | Linear OA(3236, 2261, F3, 46) (dual of [2261, 2025, 47]-code) | [i] | ||
| 13 | Linear OA(3242, 787, F3, 58) (dual of [787, 545, 59]-code) | [i] | ||
| 14 | Linear OA(3242, 793, F3, 57) (dual of [793, 551, 58]-code) | [i] | ||
| 15 | Linear OA(3239, 796, F3, 55) (dual of [796, 557, 56]-code) | [i] | ||
| 16 | Linear OA(3227, 796, F3, 52) (dual of [796, 569, 53]-code) | [i] | ||
| 17 | Linear OA(3215, 796, F3, 49) (dual of [796, 581, 50]-code) | [i] | ||
| 18 | Linear OA(3179, 796, F3, 40) (dual of [796, 617, 41]-code) | [i] | ||
| 19 | Linear OA(3167, 793, F3, 37) (dual of [793, 626, 38]-code) | [i] | ||
| 20 | Linear OA(3239, 802, F3, 54) (dual of [802, 563, 55]-code) | [i] | ||
| 21 | Linear OA(3227, 802, F3, 51) (dual of [802, 575, 52]-code) | [i] | ||
| 22 | Linear OA(3215, 802, F3, 48) (dual of [802, 587, 49]-code) | [i] | ||
| 23 | Linear OA(3179, 799, F3, 39) (dual of [799, 620, 40]-code) | [i] | ||
| 24 | Linear OOA(325, 40, F3, 2, 10) (dual of [(40, 2), 55, 11]-NRT-code) | [i] | OOA Folding | |