Information on Result #1300530
Linear OA(4178, 4131, F4, 38) (dual of [4131, 3953, 39]-code), using construction X with Varšamov bound based on
- linear OA(4176, 4127, F4, 38) (dual of [4127, 3951, 39]-code), using
- construction X applied to Ce(37) ⊂ Ce(32) [i] based on
- linear OA(4169, 4096, F4, 38) (dual of [4096, 3927, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(4145, 4096, F4, 33) (dual of [4096, 3951, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(47, 31, F4, 4) (dual of [31, 24, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
- construction X applied to Ce(37) ⊂ Ce(32) [i] based on
- linear OA(4176, 4129, F4, 37) (dual of [4129, 3953, 38]-code), using Gilbert–Varšamov bound and bm = 4176 > Vbs−1(k−1) = 5096 389676 526243 419512 535332 042655 974251 432614 772016 511208 411463 231316 395668 880885 568658 788340 511108 207744 [i]
- linear OA(40, 2, F4, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
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.