Information on Result #1303906
Linear OA(4247, 4194377, F4, 28) (dual of [4194377, 4194130, 29]-code), using construction X applied to Ce(28) ⊂ Ce(20) based on
- linear OA(4232, 4194304, F4, 29) (dual of [4194304, 4194072, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(4166, 4194304, F4, 21) (dual of [4194304, 4194138, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(415, 73, F4, 6) (dual of [73, 58, 7]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(413, 70, F4, 6) (dual of [70, 57, 7]-code), using
- linear OA(413, 71, F4, 4) (dual of [71, 58, 5]-code), using Gilbert–Varšamov bound and bm = 413 > Vbs−1(k−1) = 1 499926 [i]
- linear OA(41, 2, F4, 1) (dual of [2, 1, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X with Varšamov bound [i] based on
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.