Information on Result #1674247
Linear OOA(2177, 2958765, F2, 7, 12) (dual of [(2958765, 7), 20711178, 13]-NRT-code), using OOA stacking with additional row based on linear OOA(2177, 2958766, F2, 6, 12) (dual of [(2958766, 6), 17752419, 13]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2177, 2958766, F2, 2, 12) (dual of [(2958766, 2), 5917355, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2177, 4198397, F2, 2, 12) (dual of [(4198397, 2), 8396617, 13]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(2175, 4198396, F2, 2, 12) (dual of [(4198396, 2), 8396617, 13]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(237, 4095, F2, 2, 6) (dual of [(4095, 2), 8153, 7]-NRT-code), using
- linear OOA(2138, 4194301, F2, 2, 12) (dual of [(4194301, 2), 8388464, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2138, 8388602, F2, 12) (dual of [8388602, 8388464, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(2138, large, F2, 12) (dual of [large, large−138, 13]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- discarding factors / shortening the dual code based on linear OA(2138, large, F2, 12) (dual of [large, large−138, 13]-code), using
- OOA 2-folding [i] based on linear OA(2138, 8388602, F2, 12) (dual of [8388602, 8388464, 13]-code), using
- (u, u+v)-construction [i] based on
- 1 times NRT-code embedding in larger space [i] based on linear OOA(2175, 4198396, F2, 2, 12) (dual of [(4198396, 2), 8396617, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2177, 4198397, F2, 2, 12) (dual of [(4198397, 2), 8396617, 13]-NRT-code), using
Mode: 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.