Information on Result #707350
Linear OA(4173, 1090, F4, 40) (dual of [1090, 917, 41]-code), using construction X applied to C([303,342]) ⊂ C([313,341]) based on
- linear OA(4151, 1023, F4, 40) (dual of [1023, 872, 41]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {303,304,…,342}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(4106, 1023, F4, 29) (dual of [1023, 917, 30]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {313,314,…,341}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(422, 67, F4, 10) (dual of [67, 45, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(8) [i] based on
- linear OA(422, 64, F4, 10) (dual of [64, 42, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(419, 64, F4, 9) (dual of [64, 45, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- 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
- construction X applied to Ce(9) ⊂ Ce(8) [i] based on
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.