Information on Result #1300750
Linear OA(4204, 261, F4, 103) (dual of [261, 57, 104]-code), using construction X with Varšamov bound based on
- linear OA(4202, 258, F4, 103) (dual of [258, 56, 104]-code), using
- construction X applied to Ce(102) ⊂ Ce(101) [i] based on
- linear OA(4202, 256, F4, 103) (dual of [256, 54, 104]-code), using an extension Ce(102) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,102], and designed minimum distance d ≥ |I|+1 = 103 [i]
- linear OA(4200, 256, F4, 102) (dual of [256, 56, 103]-code), using an extension Ce(101) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,101], and designed minimum distance d ≥ |I|+1 = 102 [i]
- linear OA(40, 2, F4, 0) (dual of [2, 2, 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(102) ⊂ Ce(101) [i] based on
- linear OA(4202, 259, F4, 101) (dual of [259, 57, 102]-code), using Gilbert–Varšamov bound and bm = 4202 > Vbs−1(k−1) = 21 420027 617810 768176 684200 534948 061484 109245 896586 145173 272665 505015 517726 169630 152673 465920 860895 142991 769969 490050 724496 [i]
- linear OA(41, 2, F4, 1) (dual of [2, 1, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
Mode: 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.