Information on Result #1186256
Digital (113, 125, 1398143)-net over F4, using net defined by OOA based on linear OOA(4125, 1398143, F4, 14, 12) (dual of [(1398143, 14), 19573877, 13]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(4125, 4194430, F4, 2, 12) (dual of [(4194430, 2), 8388735, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4125, 4194431, F4, 2, 12) (dual of [(4194431, 2), 8388737, 13]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(417, 130, F4, 2, 6) (dual of [(130, 2), 243, 7]-NRT-code), using
- OOA 2-folding [i] based on linear OA(417, 260, F4, 6) (dual of [260, 243, 7]-code), using
- construction X applied to Ce(5) ⊂ Ce(4) [i] based on
- linear OA(417, 256, F4, 6) (dual of [256, 239, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(413, 256, F4, 5) (dual of [256, 243, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(40, 4, F4, 0) (dual of [4, 4, 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
- construction X applied to Ce(5) ⊂ Ce(4) [i] based on
- OOA 2-folding [i] based on linear OA(417, 260, F4, 6) (dual of [260, 243, 7]-code), using
- linear OOA(4108, 4194301, F4, 2, 12) (dual of [(4194301, 2), 8388494, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4108, 8388602, F4, 12) (dual of [8388602, 8388494, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(4108, large, F4, 12) (dual of [large, large−108, 13]-code), using
- the primitive narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- discarding factors / shortening the dual code based on linear OA(4108, large, F4, 12) (dual of [large, large−108, 13]-code), using
- OOA 2-folding [i] based on linear OA(4108, 8388602, F4, 12) (dual of [8388602, 8388494, 13]-code), using
- linear OOA(417, 130, F4, 2, 6) (dual of [(130, 2), 243, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(4125, 4194431, F4, 2, 12) (dual of [(4194431, 2), 8388737, 13]-NRT-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, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.