Information on Result #1324134
Linear OA(4226, 262217, F4, 31) (dual of [262217, 261991, 32]-code), using construction X with Varšamov bound based on
- linear OA(4223, 262213, F4, 31) (dual of [262213, 261990, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(22) [i] based on
- linear OA(4208, 262144, F4, 31) (dual of [262144, 261936, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(4154, 262144, F4, 23) (dual of [262144, 261990, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [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(30) ⊂ Ce(22) [i] based on
- linear OA(4223, 262214, F4, 28) (dual of [262214, 261991, 29]-code), using Gilbert–Varšamov bound and bm = 4223 > Vbs−1(k−1) = 140730 602816 341425 238540 510140 210178 942478 575407 282653 958003 744234 572975 009583 201704 501257 183551 353597 999696 404991 704471 255972 437952 [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.