Information on Result #681752
Linear OA(4128, 290, F4, 41) (dual of [290, 162, 42]-code), using construction XX applied to Ce(40) ⊂ Ce(33) ⊂ Ce(30) based on
- linear OA(4113, 256, F4, 41) (dual of [256, 143, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(495, 256, F4, 34) (dual of [256, 161, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [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(412, 31, F4, 6) (dual of [31, 19, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(412, 34, F4, 6) (dual of [34, 22, 7]-code), using
- trace code [i] based on linear OA(166, 17, F16, 6) (dual of [17, 11, 7]-code or 17-arc in PG(5,16)), using
- extended Reed–Solomon code RSe(11,16) [i]
- trace code [i] based on linear OA(166, 17, F16, 6) (dual of [17, 11, 7]-code or 17-arc in PG(5,16)), using
- discarding factors / shortening the dual code based on linear OA(412, 34, F4, 6) (dual of [34, 22, 7]-code), using
- linear OA(42, 3, F4, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,4)), using
- dual of repetition code with length 3 [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.