Information on Result #673604
Linear OA(2150, 265, F2, 45) (dual of [265, 115, 46]-code), using construction X applied to Ce(44) ⊂ Ce(42) based on
- linear OA(2149, 256, F2, 45) (dual of [256, 107, 46]-code), using an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(2141, 256, F2, 43) (dual of [256, 115, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(21, 9, F2, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2150, 265, F2, 44) (dual of [265, 115, 45]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2151, 266, F2, 45) (dual of [266, 115, 46]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(2152, 267, F2, 45) (dual of [267, 115, 46]-code) | [i] | ||
| 4 | Linear OA(2153, 268, F2, 45) (dual of [268, 115, 46]-code) | [i] | ||
| 5 | Linear OA(2149, 264, F2, 44) (dual of [264, 115, 45]-code) | [i] | Truncation | |
| 6 | Linear OOA(2150, 132, F2, 2, 45) (dual of [(132, 2), 114, 46]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(2150, 88, F2, 3, 45) (dual of [(88, 3), 114, 46]-NRT-code) | [i] | ||
| 8 | Linear OOA(2150, 53, F2, 5, 45) (dual of [(53, 5), 115, 46]-NRT-code) | [i] | ||