Information on Result #949390
Linear OOA(2133, 53, F2, 3, 55) (dual of [(53, 3), 26, 56]-NRT-code), using OOA 3-folding based on linear OA(2133, 159, F2, 55) (dual of [159, 26, 56]-code), using
- construction XX applied to Ce(54) ⊂ Ce(46) ⊂ Ce(42) [i] based on
- linear OA(2113, 128, F2, 55) (dual of [128, 15, 56]-code), using an extension Ce(54) of the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,54], and designed minimum distance d ≥ |I|+1 = 55 [i]
- linear OA(2106, 128, F2, 47) (dual of [128, 22, 48]-code), using an extension Ce(46) of the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(299, 128, F2, 43) (dual of [128, 29, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(212, 23, F2, 7) (dual of [23, 11, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(212, 24, F2, 7) (dual of [24, 12, 8]-code), using
- extended Golay code Ge(2) [i]
- discarding factors / shortening the dual code based on linear OA(212, 24, F2, 7) (dual of [24, 12, 8]-code), using
- linear OA(24, 8, F2, 3) (dual of [8, 4, 4]-code or 8-cap in PG(3,2)), 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.