Information on Result #681760
Linear OA(4123, 289, F4, 39) (dual of [289, 166, 40]-code), using construction XX applied to Ce(38) ⊂ Ce(30) ⊂ Ce(29) based on
- linear OA(4109, 256, F4, 39) (dual of [256, 147, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(491, 256, F4, 31) (dual of [256, 165, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [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(413, 32, F4, 7) (dual of [32, 19, 8]-code), using
- discarding factors / shortening the dual code based on 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
- discarding factors / shortening the dual code based on linear OA(413, 34, F4, 7) (dual of [34, 21, 8]-code), using
- linear OA(40, 1, F4, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
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.