Information on Result #2973979
Linear OOA(2198, 3279, F2, 7, 28) (dual of [(3279, 7), 22755, 29]-NRT-code), using 21 times duplication based on linear OOA(2197, 3279, F2, 7, 28) (dual of [(3279, 7), 22756, 29]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2197, 3279, F2, 5, 28) (dual of [(3279, 5), 16198, 29]-NRT-code), using
- OOA 5-folding [i] based on linear OA(2197, 16395, F2, 28) (dual of [16395, 16198, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(2197, 16398, F2, 28) (dual of [16398, 16201, 29]-code), using
- 1 times truncation [i] based on linear OA(2198, 16399, F2, 29) (dual of [16399, 16201, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(26) [i] based on
- linear OA(2197, 16384, F2, 29) (dual of [16384, 16187, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 16383 = 214−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(2183, 16384, F2, 27) (dual of [16384, 16201, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 16383 = 214−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(21, 15, F2, 1) (dual of [15, 14, 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 X applied to Ce(28) ⊂ Ce(26) [i] based on
- 1 times truncation [i] based on linear OA(2198, 16399, F2, 29) (dual of [16399, 16201, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(2197, 16398, F2, 28) (dual of [16398, 16201, 29]-code), using
- OOA 5-folding [i] based on linear OA(2197, 16395, F2, 28) (dual of [16395, 16198, 29]-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.