Information on Result #700496
Linear OA(243, 63, F2, 17) (dual of [63, 20, 18]-code), using the primitive cyclic code C(A) with length 63 = 26−1, defining set A = {0,3,5,7,11,13,15,23}, and minimum distance d ≥ |{23,28,33,…,−23}|+1 = 18 (BCH-bound)
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(243, 63, F2, 16) (dual of [63, 20, 17]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(247, 67, F2, 19) (dual of [67, 20, 20]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(264, 84, F2, 25) (dual of [84, 20, 26]-code) | [i] | ✔ | |
| 4 | Linear OA(251, 71, F2, 21) (dual of [71, 20, 22]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OOA(243, 21, F2, 3, 17) (dual of [(21, 3), 20, 18]-NRT-code) | [i] | OOA Folding | |