Information on Result #1324020
Linear OA(4190, 262217, F4, 26) (dual of [262217, 262027, 27]-code), using construction X with Varšamov bound based on
- linear OA(4187, 262213, F4, 26) (dual of [262213, 262026, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(17) [i] based on
- 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(4118, 262144, F4, 18) (dual of [262144, 262026, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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(25) ⊂ Ce(17) [i] based on
- linear OA(4187, 262214, F4, 23) (dual of [262214, 262027, 24]-code), using Gilbert–Varšamov bound and bm = 4187 > Vbs−1(k−1) = 4 528176 809371 535700 561316 564238 237485 480757 370960 214273 923287 649235 809276 916749 877798 649785 236434 814583 787104 [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.