Information on Result #673841
Linear OA(2153, 294, F2, 39) (dual of [294, 141, 40]-code), using construction XX applied to Ce(38) ⊂ Ce(30) ⊂ Ce(28) 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(2117, 256, F2, 31) (dual of [256, 139, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(2109, 256, F2, 29) (dual of [256, 147, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(217, 35, F2, 7) (dual of [35, 18, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(217, 40, F2, 7) (dual of [40, 23, 8]-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OA(217, 40, F2, 7) (dual of [40, 23, 8]-code), using
- 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: 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
None.