Information on Result #1366345
Linear OOA(4250, 8223, F4, 2, 45) (dual of [(8223, 2), 16196, 46]-NRT-code), using OOA 2-folding based on linear OA(4250, 16446, F4, 45) (dual of [16446, 16196, 46]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(4248, 16442, F4, 45) (dual of [16442, 16194, 46]-code), using
- construction X applied to Ce(44) ⊂ Ce(36) [i] based on
- linear OA(4232, 16384, F4, 45) (dual of [16384, 16152, 46]-code), using an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(4190, 16384, F4, 37) (dual of [16384, 16194, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(416, 58, F4, 7) (dual of [58, 42, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(416, 63, F4, 7) (dual of [63, 47, 8]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
- discarding factors / shortening the dual code based on linear OA(416, 63, F4, 7) (dual of [63, 47, 8]-code), using
- construction X applied to Ce(44) ⊂ Ce(36) [i] based on
- linear OA(4248, 16444, F4, 44) (dual of [16444, 16196, 45]-code), using Gilbert–Varšamov bound and bm = 4248 > Vbs−1(k−1) = 99715 278504 765539 980971 656604 746165 539142 702474 113426 663792 108282 239244 974794 457659 266176 656894 739359 634464 083976 786374 157668 131020 890278 461742 333232 [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
- linear OA(4248, 16442, F4, 45) (dual of [16442, 16194, 46]-code), 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.