Information on Result #1297280
Linear OA(2150, 307, F2, 36) (dual of [307, 157, 37]-code), using construction X with Varšamov bound based on
- linear OA(2147, 302, F2, 37) (dual of [302, 155, 38]-code), using
- construction X applied to Ce(36) ⊂ Ce(26) [i] based on
- 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(2101, 256, F2, 27) (dual of [256, 155, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(222, 46, F2, 9) (dual of [46, 24, 10]-code), using
- 2 times truncation [i] based on linear OA(224, 48, F2, 11) (dual of [48, 24, 12]-code), using
- extended quadratic residue code Qe(48,2) [i]
- 2 times truncation [i] based on linear OA(224, 48, F2, 11) (dual of [48, 24, 12]-code), using
- construction X applied to Ce(36) ⊂ Ce(26) [i] based on
- linear OA(2147, 304, F2, 34) (dual of [304, 157, 35]-code), using Gilbert–Varšamov bound and bm = 2147 > Vbs−1(k−1) = 165 818979 532568 625743 176803 485905 676036 759664 [i]
- linear OA(21, 3, F2, 1) (dual of [3, 2, 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: 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(2151, 308, F2, 37) (dual of [308, 157, 38]-code) | [i] | Adding a Parity Check Bit | |