Information on Result #895655
Linear OOA(4203, 4194819, F4, 2, 19) (dual of [(4194819, 2), 8389435, 20]-NRT-code), using (u, u+v)-construction based on
- linear OOA(434, 518, F4, 2, 9) (dual of [(518, 2), 1002, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OA(434, 1036, F4, 9) (dual of [1036, 1002, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(434, 1037, F4, 9) (dual of [1037, 1003, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(5) [i] based on
- linear OA(431, 1024, F4, 9) (dual of [1024, 993, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(421, 1024, F4, 6) (dual of [1024, 1003, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(43, 13, F4, 2) (dual of [13, 10, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- Hamming code H(3,4) [i]
- discarding factors / shortening the dual code based on linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- construction X applied to Ce(8) ⊂ Ce(5) [i] based on
- discarding factors / shortening the dual code based on linear OA(434, 1037, F4, 9) (dual of [1037, 1003, 10]-code), using
- OOA 2-folding [i] based on linear OA(434, 1036, F4, 9) (dual of [1036, 1002, 10]-code), using
- linear OOA(4169, 4194301, F4, 2, 19) (dual of [(4194301, 2), 8388433, 20]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4169, 8388602, F4, 19) (dual of [8388602, 8388433, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(4169, large, F4, 19) (dual of [large, large−169, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 424−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(4169, large, F4, 19) (dual of [large, large−169, 20]-code), using
- OOA 2-folding [i] based on linear OA(4169, 8388602, F4, 19) (dual of [8388602, 8388433, 20]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
None.