Information on Result #681751
Linear OA(4127, 290, F4, 40) (dual of [290, 163, 41]-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(410, 30, F4, 5) (dual of [30, 20, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(410, 63, F4, 5) (dual of [63, 53, 6]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 6 [i]
- discarding factors / shortening the dual code based on linear OA(410, 63, F4, 5) (dual of [63, 53, 6]-code), using
- linear OA(42, 4, F4, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,4)), using
- Reed–Solomon code RS(2,4) [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.