Information on Result #1052028
Linear OOA(2218, 2097216, F2, 4, 17) (dual of [(2097216, 4), 8388646, 18]-NRT-code), using OOA 2-folding based on linear OOA(2218, 4194432, F2, 2, 17) (dual of [(4194432, 2), 8388646, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2218, 4194433, F2, 2, 17) (dual of [(4194433, 2), 8388648, 18]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(233, 132, F2, 2, 8) (dual of [(132, 2), 231, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OA(233, 264, F2, 8) (dual of [264, 231, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(233, 265, F2, 8) (dual of [265, 232, 9]-code), using
- 1 times truncation [i] based on linear OA(234, 266, F2, 9) (dual of [266, 232, 10]-code), using
- construction X4 applied to Ce(8) ⊂ Ce(6) [i] based on
- linear OA(233, 256, F2, 9) (dual of [256, 223, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(225, 256, F2, 7) (dual of [256, 231, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(29, 10, F2, 9) (dual of [10, 1, 10]-code or 10-arc in PG(8,2)), using
- dual of repetition code with length 10 [i]
- linear OA(21, 10, F2, 1) (dual of [10, 9, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X4 applied to Ce(8) ⊂ Ce(6) [i] based on
- 1 times truncation [i] based on linear OA(234, 266, F2, 9) (dual of [266, 232, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(233, 265, F2, 8) (dual of [265, 232, 9]-code), using
- OOA 2-folding [i] based on linear OA(233, 264, F2, 8) (dual of [264, 231, 9]-code), using
- linear OOA(2185, 4194301, F2, 2, 17) (dual of [(4194301, 2), 8388417, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2185, 8388602, F2, 17) (dual of [8388602, 8388417, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(2185, large, F2, 17) (dual of [large, large−185, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 8388609 | 246−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2185, large, F2, 17) (dual of [large, large−185, 18]-code), using
- OOA 2-folding [i] based on linear OA(2185, 8388602, F2, 17) (dual of [8388602, 8388417, 18]-code), using
- linear OOA(233, 132, F2, 2, 8) (dual of [(132, 2), 231, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
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.