Information on Result #1324206
Linear OA(4244, 262217, F4, 34) (dual of [262217, 261973, 35]-code), using construction X with Varšamov bound based on
- linear OA(4241, 262213, F4, 34) (dual of [262213, 261972, 35]-code), using
- construction X applied to Ce(33) ⊂ Ce(25) [i] based on
- linear OA(4226, 262144, F4, 34) (dual of [262144, 261918, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(4172, 262144, F4, 26) (dual of [262144, 261972, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(415, 69, F4, 7) (dual of [69, 54, 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(33) ⊂ Ce(25) [i] based on
- linear OA(4241, 262214, F4, 31) (dual of [262214, 261973, 32]-code), using Gilbert–Varšamov bound and bm = 4241 > Vbs−1(k−1) = 2 811254 794343 937398 846052 645107 057348 525709 949292 136728 705766 838298 863100 757585 778505 107855 922950 246656 922076 529865 752649 331585 688353 286849 734944 [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.