Information on Result #1324280
Linear OA(4258, 1048655, F4, 32) (dual of [1048655, 1048397, 33]-code), using construction X with Varšamov bound based on
- linear OA(4255, 1048651, F4, 32) (dual of [1048651, 1048396, 33]-code), using
- 1 times truncation [i] based on linear OA(4256, 1048652, F4, 33) (dual of [1048652, 1048396, 34]-code), using
- construction X applied to C([0,16]) ⊂ C([0,12]) [i] based on
- linear OA(4241, 1048577, F4, 33) (dual of [1048577, 1048336, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 420−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(4181, 1048577, F4, 25) (dual of [1048577, 1048396, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 420−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [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 C([0,16]) ⊂ C([0,12]) [i] based on
- 1 times truncation [i] based on linear OA(4256, 1048652, F4, 33) (dual of [1048652, 1048396, 34]-code), using
- linear OA(4255, 1048652, F4, 29) (dual of [1048652, 1048397, 30]-code), using Gilbert–Varšamov bound and bm = 4255 > Vbs−1(k−1) = 283 640953 124693 032461 788223 627574 146421 184065 356453 921298 728723 882998 987938 197256 089550 116921 685690 114331 321592 720789 968248 019659 211049 034285 416308 401936 [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.