Information on Result #1488949
Linear OOA(843, 2005, F8, 3, 12) (dual of [(2005, 3), 5972, 13]-NRT-code), using OOA 2-folding based on linear OOA(843, 4010, F8, 2, 12) (dual of [(4010, 2), 7977, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(843, 4011, F8, 2, 12) (dual of [(4011, 2), 7979, 13]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(843, 4011, F8, 12) (dual of [4011, 3968, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(843, 4107, F8, 12) (dual of [4107, 4064, 13]-code), using
- construction XX applied to Ce(11) ⊂ Ce(9) ⊂ Ce(8) [i] based on
- linear OA(841, 4096, F8, 12) (dual of [4096, 4055, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(833, 4096, F8, 10) (dual of [4096, 4063, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(829, 4096, F8, 9) (dual of [4096, 4067, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(81, 10, F8, 1) (dual of [10, 9, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, 511, F8, 1) (dual of [511, 510, 2]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,0], and designed minimum distance d ≥ |I|+1 = 2 [i]
- discarding factors / shortening the dual code based on linear OA(81, 511, F8, 1) (dual of [511, 510, 2]-code), using
- linear OA(80, 1, F8, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
- construction XX applied to Ce(11) ⊂ Ce(9) ⊂ Ce(8) [i] based on
- discarding factors / shortening the dual code based on linear OA(843, 4107, F8, 12) (dual of [4107, 4064, 13]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(843, 4011, F8, 12) (dual of [4011, 3968, 13]-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.