Information on Result #681766
Linear OA(4121, 293, F4, 38) (dual of [293, 172, 39]-code), using construction XX applied to Ce(37) ⊂ Ce(29) ⊂ Ce(28) based on
- linear OA(4105, 256, F4, 38) (dual of [256, 151, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(487, 256, F4, 30) (dual of [256, 169, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(483, 256, F4, 29) (dual of [256, 173, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(413, 34, F4, 7) (dual of [34, 21, 8]-code), using
- (u, u+v)-construction [i] based on
- linear OA(44, 17, F4, 3) (dual of [17, 13, 4]-code or 17-cap in PG(3,4)), using
- linear OA(49, 17, F4, 7) (dual of [17, 8, 8]-code), using
- (u, u+v)-construction [i] based on
- linear OA(40, 3, F4, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-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.