Information on Result #1492931
Linear OOA(984, 3199, F9, 3, 23) (dual of [(3199, 3), 9513, 24]-NRT-code), using OOA 2-folding based on linear OOA(984, 6398, F9, 2, 23) (dual of [(6398, 2), 12712, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(984, 6399, F9, 2, 23) (dual of [(6399, 2), 12714, 24]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(984, 6399, F9, 23) (dual of [6399, 6315, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(984, 6574, F9, 23) (dual of [6574, 6490, 24]-code), using
- construction XX applied to C([0,11]) ⊂ C([0,10]) ⊂ C([0,9]) [i] based on
- linear OA(981, 6562, F9, 23) (dual of [6562, 6481, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 98−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(973, 6562, F9, 21) (dual of [6562, 6489, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 98−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(965, 6562, F9, 19) (dual of [6562, 6497, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 98−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(91, 10, F9, 1) (dual of [10, 9, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, 728, F9, 1) (dual of [728, 727, 2]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,0], and designed minimum distance d ≥ |I|+1 = 2 [i]
- discarding factors / shortening the dual code based on linear OA(91, 728, F9, 1) (dual of [728, 727, 2]-code), using
- linear OA(91, 2, F9, 1) (dual of [2, 1, 2]-code), using
- dual of repetition code with length 2 [i]
- construction XX applied to C([0,11]) ⊂ C([0,10]) ⊂ C([0,9]) [i] based on
- discarding factors / shortening the dual code based on linear OA(984, 6574, F9, 23) (dual of [6574, 6490, 24]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(984, 6399, F9, 23) (dual of [6399, 6315, 24]-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.