Information on Result #673609
Linear OA(2134, 265, F2, 39) (dual of [265, 131, 40]-code), using construction X applied to Ce(38) ⊂ Ce(36) based on
- linear OA(2133, 256, F2, 39) (dual of [256, 123, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(2125, 256, F2, 37) (dual of [256, 131, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [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(2134, 265, F2, 38) (dual of [265, 131, 39]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2135, 266, F2, 39) (dual of [266, 131, 40]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(2136, 267, F2, 39) (dual of [267, 131, 40]-code) | [i] | ||
| 4 | Linear OA(2137, 268, F2, 39) (dual of [268, 131, 40]-code) | [i] | ||
| 5 | Linear OA(2138, 269, F2, 39) (dual of [269, 131, 40]-code) | [i] | ||
| 6 | Linear OA(2139, 270, F2, 39) (dual of [270, 131, 40]-code) | [i] | ||
| 7 | Linear OA(2133, 264, F2, 38) (dual of [264, 131, 39]-code) | [i] | Truncation | |
| 8 | Linear OOA(2134, 132, F2, 2, 39) (dual of [(132, 2), 130, 40]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(2134, 88, F2, 3, 39) (dual of [(88, 3), 130, 40]-NRT-code) | [i] | ||
| 10 | Linear OOA(2134, 66, F2, 4, 39) (dual of [(66, 4), 130, 40]-NRT-code) | [i] | ||
| 11 | Linear OOA(2134, 53, F2, 5, 39) (dual of [(53, 5), 131, 40]-NRT-code) | [i] | ||