Information on Result #1324102
Linear OA(4217, 262217, F4, 30) (dual of [262217, 262000, 31]-code), using construction X with Varšamov bound based on
- linear OA(4214, 262213, F4, 30) (dual of [262213, 261999, 31]-code), using
- construction X applied to Ce(29) ⊂ Ce(21) [i] based on
- linear OA(4199, 262144, F4, 30) (dual of [262144, 261945, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(4145, 262144, F4, 22) (dual of [262144, 261999, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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(29) ⊂ Ce(21) [i] based on
- linear OA(4214, 262214, F4, 27) (dual of [262214, 262000, 28]-code), using Gilbert–Varšamov bound and bm = 4214 > Vbs−1(k−1) = 4 830803 262047 323751 968417 194675 278302 739117 922949 016909 389542 569120 159946 984380 777626 365640 027676 412186 239293 555942 245657 715024 [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.