Information on Result #1324228
Linear OA(4249, 1048655, F4, 31) (dual of [1048655, 1048406, 32]-code), using construction X with Varšamov bound based on
- linear OA(4246, 1048651, F4, 31) (dual of [1048651, 1048405, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(22) [i] based on
- linear OA(4231, 1048576, F4, 31) (dual of [1048576, 1048345, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(4171, 1048576, F4, 23) (dual of [1048576, 1048405, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(415, 75, F4, 7) (dual of [75, 60, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(415, 85, F4, 7) (dual of [85, 70, 8]-code), using
- construction X applied to Ce(30) ⊂ Ce(22) [i] based on
- linear OA(4246, 1048652, F4, 28) (dual of [1048652, 1048406, 29]-code), using Gilbert–Varšamov bound and bm = 4246 > Vbs−1(k−1) = 2524 560491 604312 813713 836721 855477 206470 082285 976486 301043 652732 098043 488012 842224 494733 778213 078251 687265 609721 117789 016639 821599 873483 138929 359936 [i]
- 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: 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.